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Finding the Fourth Proportional to 14,091.50, 19,446.22 and 8,123.12

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Solution

The fourth proportional to 14,091.50, 19,446.22 and 8,123.12 is: 11,209.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,091.50 : 19,446.22 = 8,123.12 : x
  2. Step 2: Convert to fraction form
    14,091.50/19,446.22 = 8,123.12/x
  3. Step 3: Cross multiply
    14,091.50x = 19,446.22 × 8,123.12
  4. Step 4: Simplify right side
    14,091.50x = 157,963,978.61
  5. Step 5: Solve for x
    x = 157,963,978.61/14,091.50
  6. Step 6: Final answer
    x = 11,209.88

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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.