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Finding the Fourth Proportional to 25,210.74, 37,814.82 and 9,414.53

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Solution

The fourth proportional to 25,210.74, 37,814.82 and 9,414.53 is: 14,121.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,210.74 : 37,814.82 = 9,414.53 : x
  2. Step 2: Convert to fraction form
    25,210.74/37,814.82 = 9,414.53/x
  3. Step 3: Cross multiply
    25,210.74x = 37,814.82 × 9,414.53
  4. Step 4: Simplify right side
    25,210.74x = 356,008,568.26
  5. Step 5: Solve for x
    x = 356,008,568.26/25,210.74
  6. Step 6: Final answer
    x = 14,121.31

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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.