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Finding the Fourth Proportional to 19,538.57, 29,314.88 and 7,685.78

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Solution

The fourth proportional to 19,538.57, 29,314.88 and 7,685.78 is: 11,531.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,538.57 : 29,314.88 = 7,685.78 : x
  2. Step 2: Convert to fraction form
    19,538.57/29,314.88 = 7,685.78/x
  3. Step 3: Cross multiply
    19,538.57x = 29,314.88 × 7,685.78
  4. Step 4: Simplify right side
    19,538.57x = 225,307,533.40
  5. Step 5: Solve for x
    x = 225,307,533.40/19,538.57
  6. Step 6: Final answer
    x = 11,531.43

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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.