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Finding the Fourth Proportional to 22,610.88, 31,196.58 and 13,177.64

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Solution

The fourth proportional to 22,610.88, 31,196.58 and 13,177.64 is: 18,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,610.88 : 31,196.58 = 13,177.64 : x
  2. Step 2: Convert to fraction form
    22,610.88/31,196.58 = 13,177.64/x
  3. Step 3: Cross multiply
    22,610.88x = 31,196.58 × 13,177.64
  4. Step 4: Simplify right side
    22,610.88x = 411,097,300.47
  5. Step 5: Solve for x
    x = 411,097,300.47/22,610.88
  6. Step 6: Final answer
    x = 18,181.39

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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.