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Finding the Fourth Proportional to 27,683.80, 38,203.24 and 15,107.72

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Solution

The fourth proportional to 27,683.80, 38,203.24 and 15,107.72 is: 20,848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,683.80 : 38,203.24 = 15,107.72 : x
  2. Step 2: Convert to fraction form
    27,683.80/38,203.24 = 15,107.72/x
  3. Step 3: Cross multiply
    27,683.80x = 38,203.24 × 15,107.72
  4. Step 4: Simplify right side
    27,683.80x = 577,163,853.01
  5. Step 5: Solve for x
    x = 577,163,853.01/27,683.80
  6. Step 6: Final answer
    x = 20,848.43

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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.