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Finding the Fourth Proportional to 12,649.39, 17,458.45 and 7,545.24

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Solution

The fourth proportional to 12,649.39, 17,458.45 and 7,545.24 is: 10,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.39 : 17,458.45 = 7,545.24 : x
  2. Step 2: Convert to fraction form
    12,649.39/17,458.45 = 7,545.24/x
  3. Step 3: Cross multiply
    12,649.39x = 17,458.45 × 7,545.24
  4. Step 4: Simplify right side
    12,649.39x = 131,728,162.47
  5. Step 5: Solve for x
    x = 131,728,162.47/12,649.39
  6. Step 6: Final answer
    x = 10,413.80

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Why These Related Problems?

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