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Finding the Fourth Proportional to 15,214.38, 20,995.85 and 8,590.38

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Solution

The fourth proportional to 15,214.38, 20,995.85 and 8,590.38 is: 11,854.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,214.38 : 20,995.85 = 8,590.38 : x
  2. Step 2: Convert to fraction form
    15,214.38/20,995.85 = 8,590.38/x
  3. Step 3: Cross multiply
    15,214.38x = 20,995.85 × 8,590.38
  4. Step 4: Simplify right side
    15,214.38x = 180,362,329.92
  5. Step 5: Solve for x
    x = 180,362,329.92/15,214.38
  6. Step 6: Final answer
    x = 11,854.73

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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.