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Finding the Fourth Proportional to 22,930.93, 31,645.38 and 12,860.30

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Solution

The fourth proportional to 22,930.93, 31,645.38 and 12,860.30 is: 17,747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,930.93 : 31,645.38 = 12,860.30 : x
  2. Step 2: Convert to fraction form
    22,930.93/31,645.38 = 12,860.30/x
  3. Step 3: Cross multiply
    22,930.93x = 31,645.38 × 12,860.30
  4. Step 4: Simplify right side
    22,930.93x = 406,969,016.11
  5. Step 5: Solve for x
    x = 406,969,016.11/22,930.93
  6. Step 6: Final answer
    x = 17,747.60

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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.