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Finding the Fourth Proportional to 25,146.46, 37,719.70 and 9,351.17

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Solution

The fourth proportional to 25,146.46, 37,719.70 and 9,351.17 is: 14,026.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,146.46 : 37,719.70 = 9,351.17 : x
  2. Step 2: Convert to fraction form
    25,146.46/37,719.70 = 9,351.17/x
  3. Step 3: Cross multiply
    25,146.46x = 37,719.70 × 9,351.17
  4. Step 4: Simplify right side
    25,146.46x = 352,723,327.05
  5. Step 5: Solve for x
    x = 352,723,327.05/25,146.46
  6. Step 6: Final answer
    x = 14,026.76

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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.