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Finding the Fourth Proportional to 20,854.82, 28,779.38 and 11,423.39

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Solution

The fourth proportional to 20,854.82, 28,779.38 and 11,423.39 is: 15,764.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,854.82 : 28,779.38 = 11,423.39 : x
  2. Step 2: Convert to fraction form
    20,854.82/28,779.38 = 11,423.39/x
  3. Step 3: Cross multiply
    20,854.82x = 28,779.38 × 11,423.39
  4. Step 4: Simplify right side
    20,854.82x = 328,758,024.58
  5. Step 5: Solve for x
    x = 328,758,024.58/20,854.82
  6. Step 6: Final answer
    x = 15,764.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.