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Finding the Fourth Proportional to 24,232.18, 36,311.14 and 16,305.30

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Solution

The fourth proportional to 24,232.18, 36,311.14 and 16,305.30 is: 24,432.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,232.18 : 36,311.14 = 16,305.30 : x
  2. Step 2: Convert to fraction form
    24,232.18/36,311.14 = 16,305.30/x
  3. Step 3: Cross multiply
    24,232.18x = 36,311.14 × 16,305.30
  4. Step 4: Simplify right side
    24,232.18x = 592,064,031.04
  5. Step 5: Solve for x
    x = 592,064,031.04/24,232.18
  6. Step 6: Final answer
    x = 24,432.97

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