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Finding the Fourth Proportional to 20,854.68, 28,777.98 and 11,423.16

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Solution

The fourth proportional to 20,854.68, 28,777.98 and 11,423.16 is: 15,763.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,854.68 : 28,777.98 = 11,423.16 : x
  2. Step 2: Convert to fraction form
    20,854.68/28,777.98 = 11,423.16/x
  3. Step 3: Cross multiply
    20,854.68x = 28,777.98 × 11,423.16
  4. Step 4: Simplify right side
    20,854.68x = 328,735,470.02
  5. Step 5: Solve for x
    x = 328,735,470.02/20,854.68
  6. Step 6: Final answer
    x = 15,763.15

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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.