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Finding the Fourth Proportional to 22,134.16, 33,206.10 and 10,441

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Solution

The fourth proportional to 22,134.16, 33,206.10 and 10,441 is: 15,663.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,134.16 : 33,206.10 = 10,441 : x
  2. Step 2: Convert to fraction form
    22,134.16/33,206.10 = 10,441/x
  3. Step 3: Cross multiply
    22,134.16x = 33,206.10 × 10,441
  4. Step 4: Simplify right side
    22,134.16x = 346,704,890.10
  5. Step 5: Solve for x
    x = 346,704,890.10/22,134.16
  6. Step 6: Final answer
    x = 15,663.79

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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.