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Finding the Fourth Proportional to 27,722.52, 38,256.84 and 17,114.76

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Solution

The fourth proportional to 27,722.52, 38,256.84 and 17,114.76 is: 23,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,722.52 : 38,256.84 = 17,114.76 : x
  2. Step 2: Convert to fraction form
    27,722.52/38,256.84 = 17,114.76/x
  3. Step 3: Cross multiply
    27,722.52x = 38,256.84 × 17,114.76
  4. Step 4: Simplify right side
    27,722.52x = 654,756,634.96
  5. Step 5: Solve for x
    x = 654,756,634.96/27,722.52
  6. Step 6: Final answer
    x = 23,618.22

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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.