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Finding the Fourth Proportional to 25,646.39, 38,470.95 and 8,114.87

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Solution

The fourth proportional to 25,646.39, 38,470.95 and 8,114.87 is: 12,172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,646.39 : 38,470.95 = 8,114.87 : x
  2. Step 2: Convert to fraction form
    25,646.39/38,470.95 = 8,114.87/x
  3. Step 3: Cross multiply
    25,646.39x = 38,470.95 × 8,114.87
  4. Step 4: Simplify right side
    25,646.39x = 312,186,758.03
  5. Step 5: Solve for x
    x = 312,186,758.03/25,646.39
  6. Step 6: Final answer
    x = 12,172.74

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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.