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Finding the Fourth Proportional to 17,545.47, 24,212.82 and 9,587.82

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Solution

The fourth proportional to 17,545.47, 24,212.82 and 9,587.82 is: 13,231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,545.47 : 24,212.82 = 9,587.82 : x
  2. Step 2: Convert to fraction form
    17,545.47/24,212.82 = 9,587.82/x
  3. Step 3: Cross multiply
    17,545.47x = 24,212.82 × 9,587.82
  4. Step 4: Simplify right side
    17,545.47x = 232,148,159.85
  5. Step 5: Solve for x
    x = 232,148,159.85/17,545.47
  6. Step 6: Final answer
    x = 13,231.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.