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Finding the Fourth Proportional to 25,414.70, 38,123.22 and 12,278.12

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Solution

The fourth proportional to 25,414.70, 38,123.22 and 12,278.12 is: 18,417.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,414.70 : 38,123.22 = 12,278.12 : x
  2. Step 2: Convert to fraction form
    25,414.70/38,123.22 = 12,278.12/x
  3. Step 3: Cross multiply
    25,414.70x = 38,123.22 × 12,278.12
  4. Step 4: Simplify right side
    25,414.70x = 468,081,325.37
  5. Step 5: Solve for x
    x = 468,081,325.37/25,414.70
  6. Step 6: Final answer
    x = 18,417.74

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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.