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Finding the Fourth Proportional to 16,306.86, 22,504.32 and 9,233.94

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Solution

The fourth proportional to 16,306.86, 22,504.32 and 9,233.94 is: 12,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306.86 : 22,504.32 = 9,233.94 : x
  2. Step 2: Convert to fraction form
    16,306.86/22,504.32 = 9,233.94/x
  3. Step 3: Cross multiply
    16,306.86x = 22,504.32 × 9,233.94
  4. Step 4: Simplify right side
    16,306.86x = 207,803,540.62
  5. Step 5: Solve for x
    x = 207,803,540.62/16,306.86
  6. Step 6: Final answer
    x = 12,743.32

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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.