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Finding the Fourth Proportional to 24,007.23, 36,016.17 and 9,216.15

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Solution

The fourth proportional to 24,007.23, 36,016.17 and 9,216.15 is: 13,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,007.23 : 36,016.17 = 9,216.15 : x
  2. Step 2: Convert to fraction form
    24,007.23/36,016.17 = 9,216.15/x
  3. Step 3: Cross multiply
    24,007.23x = 36,016.17 × 9,216.15
  4. Step 4: Simplify right side
    24,007.23x = 331,930,425.15
  5. Step 5: Solve for x
    x = 331,930,425.15/24,007.23
  6. Step 6: Final answer
    x = 13,826.27

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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.