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Finding the Fourth Proportional to 25,591.74, 35,310.42 and 14,413.74

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Solution

The fourth proportional to 25,591.74, 35,310.42 and 14,413.74 is: 19,887.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,591.74 : 35,310.42 = 14,413.74 : x
  2. Step 2: Convert to fraction form
    25,591.74/35,310.42 = 14,413.74/x
  3. Step 3: Cross multiply
    25,591.74x = 35,310.42 × 14,413.74
  4. Step 4: Simplify right side
    25,591.74x = 508,955,213.17
  5. Step 5: Solve for x
    x = 508,955,213.17/25,591.74
  6. Step 6: Final answer
    x = 19,887.48

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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.