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Finding the Fourth Proportional to 16,123.50, 22,252.86 and 9,839.52

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Solution

The fourth proportional to 16,123.50, 22,252.86 and 9,839.52 is: 13,580.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,123.50 : 22,252.86 = 9,839.52 : x
  2. Step 2: Convert to fraction form
    16,123.50/22,252.86 = 9,839.52/x
  3. Step 3: Cross multiply
    16,123.50x = 22,252.86 × 9,839.52
  4. Step 4: Simplify right side
    16,123.50x = 218,957,461.03
  5. Step 5: Solve for x
    x = 218,957,461.03/16,123.50
  6. Step 6: Final answer
    x = 13,580.02

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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.