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Finding the Fourth Proportional to 20,596.15, 28,422.75 and 11,164.72

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Solution

The fourth proportional to 20,596.15, 28,422.75 and 11,164.72 is: 15,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,596.15 : 28,422.75 = 11,164.72 : x
  2. Step 2: Convert to fraction form
    20,596.15/28,422.75 = 11,164.72/x
  3. Step 3: Cross multiply
    20,596.15x = 28,422.75 × 11,164.72
  4. Step 4: Simplify right side
    20,596.15x = 317,332,045.38
  5. Step 5: Solve for x
    x = 317,332,045.38/20,596.15
  6. Step 6: Final answer
    x = 15,407.35

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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.