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Finding the Fourth Proportional to 20,610.29, 30,917.87 and 6,565.43

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Solution

The fourth proportional to 20,610.29, 30,917.87 and 6,565.43 is: 9,848.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,610.29 : 30,917.87 = 6,565.43 : x
  2. Step 2: Convert to fraction form
    20,610.29/30,917.87 = 6,565.43/x
  3. Step 3: Cross multiply
    20,610.29x = 30,917.87 × 6,565.43
  4. Step 4: Simplify right side
    20,610.29x = 202,989,111.23
  5. Step 5: Solve for x
    x = 202,989,111.23/20,610.29
  6. Step 6: Final answer
    x = 9,848.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.