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Finding the Fourth Proportional to 27,735.88, 38,275.32 and 15,160.64

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Solution

The fourth proportional to 27,735.88, 38,275.32 and 15,160.64 is: 20,921.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,735.88 : 38,275.32 = 15,160.64 : x
  2. Step 2: Convert to fraction form
    27,735.88/38,275.32 = 15,160.64/x
  3. Step 3: Cross multiply
    27,735.88x = 38,275.32 × 15,160.64
  4. Step 4: Simplify right side
    27,735.88x = 580,278,347.40
  5. Step 5: Solve for x
    x = 580,278,347.40/27,735.88
  6. Step 6: Final answer
    x = 20,921.58

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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.