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Finding the Fourth Proportional to 25,914.71, 35,761.86 and 14,584.20

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Solution

The fourth proportional to 25,914.71, 35,761.86 and 14,584.20 is: 20,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,914.71 : 35,761.86 = 14,584.20 : x
  2. Step 2: Convert to fraction form
    25,914.71/35,761.86 = 14,584.20/x
  3. Step 3: Cross multiply
    25,914.71x = 35,761.86 × 14,584.20
  4. Step 4: Simplify right side
    25,914.71x = 521,558,118.61
  5. Step 5: Solve for x
    x = 521,558,118.61/25,914.71
  6. Step 6: Final answer
    x = 20,125.95

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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.