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Finding the Fourth Proportional to 16,306.92, 22,503.48 and 9,233.16

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Solution

The fourth proportional to 16,306.92, 22,503.48 and 9,233.16 is: 12,741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306.92 : 22,503.48 = 9,233.16 : x
  2. Step 2: Convert to fraction form
    16,306.92/22,503.48 = 9,233.16/x
  3. Step 3: Cross multiply
    16,306.92x = 22,503.48 × 9,233.16
  4. Step 4: Simplify right side
    16,306.92x = 207,778,231.40
  5. Step 5: Solve for x
    x = 207,778,231.40/16,306.92
  6. Step 6: Final answer
    x = 12,741.72

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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.