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Finding the Fourth Proportional to 16,402.32, 24,597.40 and 12,899.17

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Solution

The fourth proportional to 16,402.32, 24,597.40 and 12,899.17 is: 19,343.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.32 : 24,597.40 = 12,899.17 : x
  2. Step 2: Convert to fraction form
    16,402.32/24,597.40 = 12,899.17/x
  3. Step 3: Cross multiply
    16,402.32x = 24,597.40 × 12,899.17
  4. Step 4: Simplify right side
    16,402.32x = 317,286,099.74
  5. Step 5: Solve for x
    x = 317,286,099.74/16,402.32
  6. Step 6: Final answer
    x = 19,343.97

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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.