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Finding the Fourth Proportional to 13,554.77, 18,711.48 and 9,729.14

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Solution

The fourth proportional to 13,554.77, 18,711.48 and 9,729.14 is: 13,430.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,554.77 : 18,711.48 = 9,729.14 : x
  2. Step 2: Convert to fraction form
    13,554.77/18,711.48 = 9,729.14/x
  3. Step 3: Cross multiply
    13,554.77x = 18,711.48 × 9,729.14
  4. Step 4: Simplify right side
    13,554.77x = 182,046,514.97
  5. Step 5: Solve for x
    x = 182,046,514.97/13,554.77
  6. Step 6: Final answer
    x = 13,430.44

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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.