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Finding the Fourth Proportional to 16,506.70, 22,778.92 and 9,432.16

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Solution

The fourth proportional to 16,506.70, 22,778.92 and 9,432.16 is: 13,016.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.70 : 22,778.92 = 9,432.16 : x
  2. Step 2: Convert to fraction form
    16,506.70/22,778.92 = 9,432.16/x
  3. Step 3: Cross multiply
    16,506.70x = 22,778.92 × 9,432.16
  4. Step 4: Simplify right side
    16,506.70x = 214,854,418.07
  5. Step 5: Solve for x
    x = 214,854,418.07/16,506.70
  6. Step 6: Final answer
    x = 13,016.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.