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Finding the Fourth Proportional to 22,101.30, 30,496.41 and 13,148.64

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Solution

The fourth proportional to 22,101.30, 30,496.41 and 13,148.64 is: 18,143.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,101.30 : 30,496.41 = 13,148.64 : x
  2. Step 2: Convert to fraction form
    22,101.30/30,496.41 = 13,148.64/x
  3. Step 3: Cross multiply
    22,101.30x = 30,496.41 × 13,148.64
  4. Step 4: Simplify right side
    22,101.30x = 400,986,316.38
  5. Step 5: Solve for x
    x = 400,986,316.38/22,101.30
  6. Step 6: Final answer
    x = 18,143.11

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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.