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Finding the Fourth Proportional to 25,256.40, 37,884.72 and 7,726.20

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Solution

The fourth proportional to 25,256.40, 37,884.72 and 7,726.20 is: 11,589.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,256.40 : 37,884.72 = 7,726.20 : x
  2. Step 2: Convert to fraction form
    25,256.40/37,884.72 = 7,726.20/x
  3. Step 3: Cross multiply
    25,256.40x = 37,884.72 × 7,726.20
  4. Step 4: Simplify right side
    25,256.40x = 292,704,923.66
  5. Step 5: Solve for x
    x = 292,704,923.66/25,256.40
  6. Step 6: Final answer
    x = 11,589.34

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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.