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Finding the Fourth Proportional to 27,959.25, 38,583.77 and 15,384

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Solution

The fourth proportional to 27,959.25, 38,583.77 and 15,384 is: 21,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,959.25 : 38,583.77 = 15,384 : x
  2. Step 2: Convert to fraction form
    27,959.25/38,583.77 = 15,384/x
  3. Step 3: Cross multiply
    27,959.25x = 38,583.77 × 15,384
  4. Step 4: Simplify right side
    27,959.25x = 593,572,640.76
  5. Step 5: Solve for x
    x = 593,572,640.76/27,959.25
  6. Step 6: Final answer
    x = 21,229.92

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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.