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Finding the Fourth Proportional to 22,352.32, 33,527.87 and 10,342.85

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Solution

The fourth proportional to 22,352.32, 33,527.87 and 10,342.85 is: 15,513.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,352.32 : 33,527.87 = 10,342.85 : x
  2. Step 2: Convert to fraction form
    22,352.32/33,527.87 = 10,342.85/x
  3. Step 3: Cross multiply
    22,352.32x = 33,527.87 × 10,342.85
  4. Step 4: Simplify right side
    22,352.32x = 346,773,678.52
  5. Step 5: Solve for x
    x = 346,773,678.52/22,352.32
  6. Step 6: Final answer
    x = 15,513.99

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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.