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Finding the Fourth Proportional to 27,782.80, 38,340.72 and 15,683.92

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Solution

The fourth proportional to 27,782.80, 38,340.72 and 15,683.92 is: 21,644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.80 : 38,340.72 = 15,683.92 : x
  2. Step 2: Convert to fraction form
    27,782.80/38,340.72 = 15,683.92/x
  3. Step 3: Cross multiply
    27,782.80x = 38,340.72 × 15,683.92
  4. Step 4: Simplify right side
    27,782.80x = 601,332,785.22
  5. Step 5: Solve for x
    x = 601,332,785.22/27,782.80
  6. Step 6: Final answer
    x = 21,644.07

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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.