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Finding the Fourth Proportional to 25,641.90, 38,460.69 and 8,109.18

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Solution

The fourth proportional to 25,641.90, 38,460.69 and 8,109.18 is: 12,163.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,641.90 : 38,460.69 = 8,109.18 : x
  2. Step 2: Convert to fraction form
    25,641.90/38,460.69 = 8,109.18/x
  3. Step 3: Cross multiply
    25,641.90x = 38,460.69 × 8,109.18
  4. Step 4: Simplify right side
    25,641.90x = 311,884,658.13
  5. Step 5: Solve for x
    x = 311,884,658.13/25,641.90
  6. Step 6: Final answer
    x = 12,163.09

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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.