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Finding the Fourth Proportional to 25,125.84, 34,675.21 and 13,947.84

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Solution

The fourth proportional to 25,125.84, 34,675.21 and 13,947.84 is: 19,248.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,125.84 : 34,675.21 = 13,947.84 : x
  2. Step 2: Convert to fraction form
    25,125.84/34,675.21 = 13,947.84/x
  3. Step 3: Cross multiply
    25,125.84x = 34,675.21 × 13,947.84
  4. Step 4: Simplify right side
    25,125.84x = 483,644,281.05
  5. Step 5: Solve for x
    x = 483,644,281.05/25,125.84
  6. Step 6: Final answer
    x = 19,248.88

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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.