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Finding the Fourth Proportional to 13,710.52, 20,538.37 and 6,304.82

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Solution

The fourth proportional to 13,710.52, 20,538.37 and 6,304.82 is: 9,444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.52 : 20,538.37 = 6,304.82 : x
  2. Step 2: Convert to fraction form
    13,710.52/20,538.37 = 6,304.82/x
  3. Step 3: Cross multiply
    13,710.52x = 20,538.37 × 6,304.82
  4. Step 4: Simplify right side
    13,710.52x = 129,490,694.42
  5. Step 5: Solve for x
    x = 129,490,694.42/13,710.52
  6. Step 6: Final answer
    x = 9,444.63

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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.