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Finding the Fourth Proportional to 25,589.76, 38,352 and 11,534.72

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Solution

The fourth proportional to 25,589.76, 38,352 and 11,534.72 is: 17,287.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,589.76 : 38,352 = 11,534.72 : x
  2. Step 2: Convert to fraction form
    25,589.76/38,352 = 11,534.72/x
  3. Step 3: Cross multiply
    25,589.76x = 38,352 × 11,534.72
  4. Step 4: Simplify right side
    25,589.76x = 442,379,581.44
  5. Step 5: Solve for x
    x = 442,379,581.44/25,589.76
  6. Step 6: Final answer
    x = 17,287.37

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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.