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Finding the Fourth Proportional to 27,782.76, 38,340.84 and 15,207.54

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Solution

The fourth proportional to 27,782.76, 38,340.84 and 15,207.54 is: 20,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.76 : 38,340.84 = 15,207.54 : x
  2. Step 2: Convert to fraction form
    27,782.76/38,340.84 = 15,207.54/x
  3. Step 3: Cross multiply
    27,782.76x = 38,340.84 × 15,207.54
  4. Step 4: Simplify right side
    27,782.76x = 583,069,857.93
  5. Step 5: Solve for x
    x = 583,069,857.93/27,782.76
  6. Step 6: Final answer
    x = 20,986.75

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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.