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Finding the Fourth Proportional to 27,707.76, 38,236.50 and 15,132.50

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Solution

The fourth proportional to 27,707.76, 38,236.50 and 15,132.50 is: 20,882.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,707.76 : 38,236.50 = 15,132.50 : x
  2. Step 2: Convert to fraction form
    27,707.76/38,236.50 = 15,132.50/x
  3. Step 3: Cross multiply
    27,707.76x = 38,236.50 × 15,132.50
  4. Step 4: Simplify right side
    27,707.76x = 578,613,836.25
  5. Step 5: Solve for x
    x = 578,613,836.25/27,707.76
  6. Step 6: Final answer
    x = 20,882.74

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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.