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Finding the Fourth Proportional to 20,854.52, 28,779.24 and 11,423.07

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Solution

The fourth proportional to 20,854.52, 28,779.24 and 11,423.07 is: 15,763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,854.52 : 28,779.24 = 11,423.07 : x
  2. Step 2: Convert to fraction form
    20,854.52/28,779.24 = 11,423.07/x
  3. Step 3: Cross multiply
    20,854.52x = 28,779.24 × 11,423.07
  4. Step 4: Simplify right side
    20,854.52x = 328,747,273.07
  5. Step 5: Solve for x
    x = 328,747,273.07/20,854.52
  6. Step 6: Final answer
    x = 15,763.84

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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.