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Finding the Fourth Proportional to 19,538.16, 29,294.28 and 6,385.92

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Solution

The fourth proportional to 19,538.16, 29,294.28 and 6,385.92 is: 9,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,538.16 : 29,294.28 = 6,385.92 : x
  2. Step 2: Convert to fraction form
    19,538.16/29,294.28 = 6,385.92/x
  3. Step 3: Cross multiply
    19,538.16x = 29,294.28 × 6,385.92
  4. Step 4: Simplify right side
    19,538.16x = 187,070,928.54
  5. Step 5: Solve for x
    x = 187,070,928.54/19,538.16
  6. Step 6: Final answer
    x = 9,574.64

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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.