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Finding the Fourth Proportional to 23,256.40, 34,884.32 and 5,726.40

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Solution

The fourth proportional to 23,256.40, 34,884.32 and 5,726.40 is: 8,589.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,256.40 : 34,884.32 = 5,726.40 : x
  2. Step 2: Convert to fraction form
    23,256.40/34,884.32 = 5,726.40/x
  3. Step 3: Cross multiply
    23,256.40x = 34,884.32 × 5,726.40
  4. Step 4: Simplify right side
    23,256.40x = 199,761,570.05
  5. Step 5: Solve for x
    x = 199,761,570.05/23,256.40
  6. Step 6: Final answer
    x = 8,589.53

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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.