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Finding the Fourth Proportional to 24,472.98, 36,697.85 and 9,487.11

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Solution

The fourth proportional to 24,472.98, 36,697.85 and 9,487.11 is: 14,226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472.98 : 36,697.85 = 9,487.11 : x
  2. Step 2: Convert to fraction form
    24,472.98/36,697.85 = 9,487.11/x
  3. Step 3: Cross multiply
    24,472.98x = 36,697.85 × 9,487.11
  4. Step 4: Simplify right side
    24,472.98x = 348,156,492.28
  5. Step 5: Solve for x
    x = 348,156,492.28/24,472.98
  6. Step 6: Final answer
    x = 14,226.16

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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.