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Finding the Fourth Proportional to 22,206.46, 30,639.90 and 13,252.24

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Solution

The fourth proportional to 22,206.46, 30,639.90 and 13,252.24 is: 18,285.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,206.46 : 30,639.90 = 13,252.24 : x
  2. Step 2: Convert to fraction form
    22,206.46/30,639.90 = 13,252.24/x
  3. Step 3: Cross multiply
    22,206.46x = 30,639.90 × 13,252.24
  4. Step 4: Simplify right side
    22,206.46x = 406,047,308.38
  5. Step 5: Solve for x
    x = 406,047,308.38/22,206.46
  6. Step 6: Final answer
    x = 18,285.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.