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Finding the Fourth Proportional to 22,141.14, 33,200.72 and 7,345.02

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Solution

The fourth proportional to 22,141.14, 33,200.72 and 7,345.02 is: 11,013.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,141.14 : 33,200.72 = 7,345.02 : x
  2. Step 2: Convert to fraction form
    22,141.14/33,200.72 = 7,345.02/x
  3. Step 3: Cross multiply
    22,141.14x = 33,200.72 × 7,345.02
  4. Step 4: Simplify right side
    22,141.14x = 243,859,952.41
  5. Step 5: Solve for x
    x = 243,859,952.41/22,141.14
  6. Step 6: Final answer
    x = 11,013.88

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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.