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Finding the Fourth Proportional to 25,434.60, 38,124.90 and 12,278.40

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Solution

The fourth proportional to 25,434.60, 38,124.90 and 12,278.40 is: 18,404.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,434.60 : 38,124.90 = 12,278.40 : x
  2. Step 2: Convert to fraction form
    25,434.60/38,124.90 = 12,278.40/x
  3. Step 3: Cross multiply
    25,434.60x = 38,124.90 × 12,278.40
  4. Step 4: Simplify right side
    25,434.60x = 468,112,772.16
  5. Step 5: Solve for x
    x = 468,112,772.16/25,434.60
  6. Step 6: Final answer
    x = 18,404.57

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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.