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Finding the Fourth Proportional to 16,476, 22,737.36 and 9,024.48

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Solution

The fourth proportional to 16,476, 22,737.36 and 9,024.48 is: 12,454.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,476 : 22,737.36 = 9,024.48 : x
  2. Step 2: Convert to fraction form
    16,476/22,737.36 = 9,024.48/x
  3. Step 3: Cross multiply
    16,476x = 22,737.36 × 9,024.48
  4. Step 4: Simplify right side
    16,476x = 205,192,850.57
  5. Step 5: Solve for x
    x = 205,192,850.57/16,476
  6. Step 6: Final answer
    x = 12,454.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.