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Finding the Fourth Proportional to 25,487.95, 38,223.25 and 9,689.17

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Solution

The fourth proportional to 25,487.95, 38,223.25 and 9,689.17 is: 14,530.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,487.95 : 38,223.25 = 9,689.17 : x
  2. Step 2: Convert to fraction form
    25,487.95/38,223.25 = 9,689.17/x
  3. Step 3: Cross multiply
    25,487.95x = 38,223.25 × 9,689.17
  4. Step 4: Simplify right side
    25,487.95x = 370,351,567.20
  5. Step 5: Solve for x
    x = 370,351,567.20/25,487.95
  6. Step 6: Final answer
    x = 14,530.46

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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.