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Finding the Fourth Proportional to 27,790.68, 38,350.80 and 15,215.16

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Solution

The fourth proportional to 27,790.68, 38,350.80 and 15,215.16 is: 20,996.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,790.68 : 38,350.80 = 15,215.16 : x
  2. Step 2: Convert to fraction form
    27,790.68/38,350.80 = 15,215.16/x
  3. Step 3: Cross multiply
    27,790.68x = 38,350.80 × 15,215.16
  4. Step 4: Simplify right side
    27,790.68x = 583,513,558.13
  5. Step 5: Solve for x
    x = 583,513,558.13/27,790.68
  6. Step 6: Final answer
    x = 20,996.74

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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.