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Finding the Fourth Proportional to 15,934.47, 23,901.68 and 7,589.18

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Solution

The fourth proportional to 15,934.47, 23,901.68 and 7,589.18 is: 11,383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,934.47 : 23,901.68 = 7,589.18 : x
  2. Step 2: Convert to fraction form
    15,934.47/23,901.68 = 7,589.18/x
  3. Step 3: Cross multiply
    15,934.47x = 23,901.68 × 7,589.18
  4. Step 4: Simplify right side
    15,934.47x = 181,394,230.55
  5. Step 5: Solve for x
    x = 181,394,230.55/15,934.47
  6. Step 6: Final answer
    x = 11,383.77

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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.