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Finding the Fourth Proportional to 22,232.14, 33,326.78 and 7,432.83

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Solution

The fourth proportional to 22,232.14, 33,326.78 and 7,432.83 is: 11,142.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,232.14 : 33,326.78 = 7,432.83 : x
  2. Step 2: Convert to fraction form
    22,232.14/33,326.78 = 7,432.83/x
  3. Step 3: Cross multiply
    22,232.14x = 33,326.78 × 7,432.83
  4. Step 4: Simplify right side
    22,232.14x = 247,712,253.02
  5. Step 5: Solve for x
    x = 247,712,253.02/22,232.14
  6. Step 6: Final answer
    x = 11,142.08

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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.