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Finding the Fourth Proportional to 17,565.89, 26,338.22 and 6,879.50

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Solution

The fourth proportional to 17,565.89, 26,338.22 and 6,879.50 is: 10,315.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,565.89 : 26,338.22 = 6,879.50 : x
  2. Step 2: Convert to fraction form
    17,565.89/26,338.22 = 6,879.50/x
  3. Step 3: Cross multiply
    17,565.89x = 26,338.22 × 6,879.50
  4. Step 4: Simplify right side
    17,565.89x = 181,193,618.40
  5. Step 5: Solve for x
    x = 181,193,618.40/17,565.89
  6. Step 6: Final answer
    x = 10,315.08

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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.