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Finding the Fourth Proportional to 22,462.66, 30,992.25 and 14,505.22

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Solution

The fourth proportional to 22,462.66, 30,992.25 and 14,505.22 is: 20,013.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462.66 : 30,992.25 = 14,505.22 : x
  2. Step 2: Convert to fraction form
    22,462.66/30,992.25 = 14,505.22/x
  3. Step 3: Cross multiply
    22,462.66x = 30,992.25 × 14,505.22
  4. Step 4: Simplify right side
    22,462.66x = 449,549,404.55
  5. Step 5: Solve for x
    x = 449,549,404.55/22,462.66
  6. Step 6: Final answer
    x = 20,013.19

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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.