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Finding the Fourth Proportional to 16,284,931.20, 24,427,396.80 and 5,647,363.20

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Solution

The fourth proportional to 16,284,931.20, 24,427,396.80 and 5,647,363.20 is: 8,471,044.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284,931.20 : 24,427,396.80 = 5,647,363.20 : x
  2. Step 2: Convert to fraction form
    16,284,931.20/24,427,396.80 = 5,647,363.20/x
  3. Step 3: Cross multiply
    16,284,931.20x = 24,427,396.80 × 5,647,363.20
  4. Step 4: Simplify right side
    16,284,931.20x = 137,950,381,760,117.77
  5. Step 5: Solve for x
    x = 137,950,381,760,117.77/16,284,931.20
  6. Step 6: Final answer
    x = 8,471,044.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.