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Finding the Fourth Proportional to 24,442.29, 33,730.07 and 13,831.65

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Solution

The fourth proportional to 24,442.29, 33,730.07 and 13,831.65 is: 19,087.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,442.29 : 33,730.07 = 13,831.65 : x
  2. Step 2: Convert to fraction form
    24,442.29/33,730.07 = 13,831.65/x
  3. Step 3: Cross multiply
    24,442.29x = 33,730.07 × 13,831.65
  4. Step 4: Simplify right side
    24,442.29x = 466,542,453.56
  5. Step 5: Solve for x
    x = 466,542,453.56/24,442.29
  6. Step 6: Final answer
    x = 19,087.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.