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Finding the Fourth Proportional to 13,710.39, 20,538.18 and 6,304.70

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Solution

The fourth proportional to 13,710.39, 20,538.18 and 6,304.70 is: 9,444.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.39 : 20,538.18 = 6,304.70 : x
  2. Step 2: Convert to fraction form
    13,710.39/20,538.18 = 6,304.70/x
  3. Step 3: Cross multiply
    13,710.39x = 20,538.18 × 6,304.70
  4. Step 4: Simplify right side
    13,710.39x = 129,486,960.76
  5. Step 5: Solve for x
    x = 129,486,960.76/13,710.39
  6. Step 6: Final answer
    x = 9,444.44

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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.