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Finding the Fourth Proportional to 27,866, 38,455.14 and 15,290.80

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Solution

The fourth proportional to 27,866, 38,455.14 and 15,290.80 is: 21,101.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,866 : 38,455.14 = 15,290.80 : x
  2. Step 2: Convert to fraction form
    27,866/38,455.14 = 15,290.80/x
  3. Step 3: Cross multiply
    27,866x = 38,455.14 × 15,290.80
  4. Step 4: Simplify right side
    27,866x = 588,009,854.71
  5. Step 5: Solve for x
    x = 588,009,854.71/27,866
  6. Step 6: Final answer
    x = 21,101.34

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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.