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Finding the Fourth Proportional to 20,686.38, 28,547.81 and 11,255.55

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Solution

The fourth proportional to 20,686.38, 28,547.81 and 11,255.55 is: 15,532.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,686.38 : 28,547.81 = 11,255.55 : x
  2. Step 2: Convert to fraction form
    20,686.38/28,547.81 = 11,255.55/x
  3. Step 3: Cross multiply
    20,686.38x = 28,547.81 × 11,255.55
  4. Step 4: Simplify right side
    20,686.38x = 321,321,302.85
  5. Step 5: Solve for x
    x = 321,321,302.85/20,686.38
  6. Step 6: Final answer
    x = 15,532.99

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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.