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Finding the Fourth Proportional to 27,781.97, 38,339.27 and 15,206.72

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Solution

The fourth proportional to 27,781.97, 38,339.27 and 15,206.72 is: 20,985.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,781.97 : 38,339.27 = 15,206.72 : x
  2. Step 2: Convert to fraction form
    27,781.97/38,339.27 = 15,206.72/x
  3. Step 3: Cross multiply
    27,781.97x = 38,339.27 × 15,206.72
  4. Step 4: Simplify right side
    27,781.97x = 583,014,276.16
  5. Step 5: Solve for x
    x = 583,014,276.16/27,781.97
  6. Step 6: Final answer
    x = 20,985.35

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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.