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Finding the Fourth Proportional to 27,866.53, 38,454.64 and 15,290.47

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Solution

The fourth proportional to 27,866.53, 38,454.64 and 15,290.47 is: 21,100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,866.53 : 38,454.64 = 15,290.47 : x
  2. Step 2: Convert to fraction form
    27,866.53/38,454.64 = 15,290.47/x
  3. Step 3: Cross multiply
    27,866.53x = 38,454.64 × 15,290.47
  4. Step 4: Simplify right side
    27,866.53x = 587,989,519.28
  5. Step 5: Solve for x
    x = 587,989,519.28/27,866.53
  6. Step 6: Final answer
    x = 21,100.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.