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Finding the Fourth Proportional to 27,588.25, 38,071.92 and 15,013

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Solution

The fourth proportional to 27,588.25, 38,071.92 and 15,013 is: 20,718.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,588.25 : 38,071.92 = 15,013 : x
  2. Step 2: Convert to fraction form
    27,588.25/38,071.92 = 15,013/x
  3. Step 3: Cross multiply
    27,588.25x = 38,071.92 × 15,013
  4. Step 4: Simplify right side
    27,588.25x = 571,573,734.96
  5. Step 5: Solve for x
    x = 571,573,734.96/27,588.25
  6. Step 6: Final answer
    x = 20,718.01

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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.