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Finding the Fourth Proportional to 22,435.82, 33,641.17 and 10,415.15

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Solution

The fourth proportional to 22,435.82, 33,641.17 and 10,415.15 is: 15,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,435.82 : 33,641.17 = 10,415.15 : x
  2. Step 2: Convert to fraction form
    22,435.82/33,641.17 = 10,415.15/x
  3. Step 3: Cross multiply
    22,435.82x = 33,641.17 × 10,415.15
  4. Step 4: Simplify right side
    22,435.82x = 350,377,831.73
  5. Step 5: Solve for x
    x = 350,377,831.73/22,435.82
  6. Step 6: Final answer
    x = 15,616.89

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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.