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Finding the Fourth Proportional to 25,488.68, 38,224.35 and 9,689.90

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Solution

The fourth proportional to 25,488.68, 38,224.35 and 9,689.90 is: 14,531.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,488.68 : 38,224.35 = 9,689.90 : x
  2. Step 2: Convert to fraction form
    25,488.68/38,224.35 = 9,689.90/x
  3. Step 3: Cross multiply
    25,488.68x = 38,224.35 × 9,689.90
  4. Step 4: Simplify right side
    25,488.68x = 370,390,129.07
  5. Step 5: Solve for x
    x = 370,390,129.07/25,488.68
  6. Step 6: Final answer
    x = 14,531.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.