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Finding the Fourth Proportional to 22,542.64, 31,080.48 and 14,462.02

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Solution

The fourth proportional to 22,542.64, 31,080.48 and 14,462.02 is: 19,939.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,542.64 : 31,080.48 = 14,462.02 : x
  2. Step 2: Convert to fraction form
    22,542.64/31,080.48 = 14,462.02/x
  3. Step 3: Cross multiply
    22,542.64x = 31,080.48 × 14,462.02
  4. Step 4: Simplify right side
    22,542.64x = 449,486,523.37
  5. Step 5: Solve for x
    x = 449,486,523.37/22,542.64
  6. Step 6: Final answer
    x = 19,939.39

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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.