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Finding the Fourth Proportional to 13,538.52, 20,304.98 and 5,215.68

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Solution

The fourth proportional to 13,538.52, 20,304.98 and 5,215.68 is: 7,822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.52 : 20,304.98 = 5,215.68 : x
  2. Step 2: Convert to fraction form
    13,538.52/20,304.98 = 5,215.68/x
  3. Step 3: Cross multiply
    13,538.52x = 20,304.98 × 5,215.68
  4. Step 4: Simplify right side
    13,538.52x = 105,904,278.09
  5. Step 5: Solve for x
    x = 105,904,278.09/13,538.52
  6. Step 6: Final answer
    x = 7,822.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.