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Finding the Fourth Proportional to 20,854.64, 28,779.50 and 11,423.21

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Solution

The fourth proportional to 20,854.64, 28,779.50 and 11,423.21 is: 15,764.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,854.64 : 28,779.50 = 11,423.21 : x
  2. Step 2: Convert to fraction form
    20,854.64/28,779.50 = 11,423.21/x
  3. Step 3: Cross multiply
    20,854.64x = 28,779.50 × 11,423.21
  4. Step 4: Simplify right side
    20,854.64x = 328,754,156.86
  5. Step 5: Solve for x
    x = 328,754,156.86/20,854.64
  6. Step 6: Final answer
    x = 15,764.08

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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.