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Finding the Fourth Proportional to 16,269.31, 24,401.13 and 6,411.34

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Solution

The fourth proportional to 16,269.31, 24,401.13 and 6,411.34 is: 9,615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,269.31 : 24,401.13 = 6,411.34 : x
  2. Step 2: Convert to fraction form
    16,269.31/24,401.13 = 6,411.34/x
  3. Step 3: Cross multiply
    16,269.31x = 24,401.13 × 6,411.34
  4. Step 4: Simplify right side
    16,269.31x = 156,443,940.81
  5. Step 5: Solve for x
    x = 156,443,940.81/16,269.31
  6. Step 6: Final answer
    x = 9,615.89

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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.