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Finding the Fourth Proportional to 25,148.53, 37,726.71 and 7,614.19

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Solution

The fourth proportional to 25,148.53, 37,726.71 and 7,614.19 is: 11,422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,148.53 : 37,726.71 = 7,614.19 : x
  2. Step 2: Convert to fraction form
    25,148.53/37,726.71 = 7,614.19/x
  3. Step 3: Cross multiply
    25,148.53x = 37,726.71 × 7,614.19
  4. Step 4: Simplify right side
    25,148.53x = 287,258,338.01
  5. Step 5: Solve for x
    x = 287,258,338.01/25,148.53
  6. Step 6: Final answer
    x = 11,422.47

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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.