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Finding the Fourth Proportional to 20,854.71, 28,779.36 and 11,294.38

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Solution

The fourth proportional to 20,854.71, 28,779.36 and 11,294.38 is: 15,586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,854.71 : 28,779.36 = 11,294.38 : x
  2. Step 2: Convert to fraction form
    20,854.71/28,779.36 = 11,294.38/x
  3. Step 3: Cross multiply
    20,854.71x = 28,779.36 × 11,294.38
  4. Step 4: Simplify right side
    20,854.71x = 325,045,028.00
  5. Step 5: Solve for x
    x = 325,045,028.00/20,854.71
  6. Step 6: Final answer
    x = 15,586.17

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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.