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Finding the Fourth Proportional to 19,493.57, 29,240.10 and 4,702.38

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Solution

The fourth proportional to 19,493.57, 29,240.10 and 4,702.38 is: 7,053.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,493.57 : 29,240.10 = 4,702.38 : x
  2. Step 2: Convert to fraction form
    19,493.57/29,240.10 = 4,702.38/x
  3. Step 3: Cross multiply
    19,493.57x = 29,240.10 × 4,702.38
  4. Step 4: Simplify right side
    19,493.57x = 137,498,061.44
  5. Step 5: Solve for x
    x = 137,498,061.44/19,493.57
  6. Step 6: Final answer
    x = 7,053.51

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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.