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Finding the Fourth Proportional to 20,854.89, 28,780.14 and 11,422.86

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Solution

The fourth proportional to 20,854.89, 28,780.14 and 11,422.86 is: 15,763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,854.89 : 28,780.14 = 11,422.86 : x
  2. Step 2: Convert to fraction form
    20,854.89/28,780.14 = 11,422.86/x
  3. Step 3: Cross multiply
    20,854.89x = 28,780.14 × 11,422.86
  4. Step 4: Simplify right side
    20,854.89x = 328,751,510.00
  5. Step 5: Solve for x
    x = 328,751,510.00/20,854.89
  6. Step 6: Final answer
    x = 15,763.76

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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.