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Finding the Fourth Proportional to 13,771.27, 19,010.17 and 9,301.08

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Solution

The fourth proportional to 13,771.27, 19,010.17 and 9,301.08 is: 12,839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.27 : 19,010.17 = 9,301.08 : x
  2. Step 2: Convert to fraction form
    13,771.27/19,010.17 = 9,301.08/x
  3. Step 3: Cross multiply
    13,771.27x = 19,010.17 × 9,301.08
  4. Step 4: Simplify right side
    13,771.27x = 176,815,123.61
  5. Step 5: Solve for x
    x = 176,815,123.61/13,771.27
  6. Step 6: Final answer
    x = 12,839.42

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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.