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Finding the Fourth Proportional to 25,189.50, 34,761.71 and 14,011.50

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Solution

The fourth proportional to 25,189.50, 34,761.71 and 14,011.50 is: 19,335.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,189.50 : 34,761.71 = 14,011.50 : x
  2. Step 2: Convert to fraction form
    25,189.50/34,761.71 = 14,011.50/x
  3. Step 3: Cross multiply
    25,189.50x = 34,761.71 × 14,011.50
  4. Step 4: Simplify right side
    25,189.50x = 487,063,734.69
  5. Step 5: Solve for x
    x = 487,063,734.69/25,189.50
  6. Step 6: Final answer
    x = 19,335.98

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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.