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Finding the Fourth Proportional to 20,854.66, 28,779.36 and 11,423.20

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Solution

The fourth proportional to 20,854.66, 28,779.36 and 11,423.20 is: 15,763.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,854.66 : 28,779.36 = 11,423.20 : x
  2. Step 2: Convert to fraction form
    20,854.66/28,779.36 = 11,423.20/x
  3. Step 3: Cross multiply
    20,854.66x = 28,779.36 × 11,423.20
  4. Step 4: Simplify right side
    20,854.66x = 328,752,385.15
  5. Step 5: Solve for x
    x = 328,752,385.15/20,854.66
  6. Step 6: Final answer
    x = 15,763.98

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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.