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Finding the Fourth Proportional to 19,538.38, 29,312.42 and 5,687.38

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Solution

The fourth proportional to 19,538.38, 29,312.42 and 5,687.38 is: 8,532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,538.38 : 29,312.42 = 5,687.38 : x
  2. Step 2: Convert to fraction form
    19,538.38/29,312.42 = 5,687.38/x
  3. Step 3: Cross multiply
    19,538.38x = 29,312.42 × 5,687.38
  4. Step 4: Simplify right side
    19,538.38x = 166,710,871.26
  5. Step 5: Solve for x
    x = 166,710,871.26/19,538.38
  6. Step 6: Final answer
    x = 8,532.48

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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.