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Finding the Fourth Proportional to 16,371, 24,558.12 and 6,508.08

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Solution

The fourth proportional to 16,371, 24,558.12 and 6,508.08 is: 9,762.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,371 : 24,558.12 = 6,508.08 : x
  2. Step 2: Convert to fraction form
    16,371/24,558.12 = 6,508.08/x
  3. Step 3: Cross multiply
    16,371x = 24,558.12 × 6,508.08
  4. Step 4: Simplify right side
    16,371x = 159,826,209.61
  5. Step 5: Solve for x
    x = 159,826,209.61/16,371
  6. Step 6: Final answer
    x = 9,762.76

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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.