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Finding the Fourth Proportional to 12,789.59, 17,649.67 and 7,413.07

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Solution

The fourth proportional to 12,789.59, 17,649.67 and 7,413.07 is: 10,230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,789.59 : 17,649.67 = 7,413.07 : x
  2. Step 2: Convert to fraction form
    12,789.59/17,649.67 = 7,413.07/x
  3. Step 3: Cross multiply
    12,789.59x = 17,649.67 × 7,413.07
  4. Step 4: Simplify right side
    12,789.59x = 130,838,113.87
  5. Step 5: Solve for x
    x = 130,838,113.87/12,789.59
  6. Step 6: Final answer
    x = 10,230.05

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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.