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Finding the Fourth Proportional to 17,340.66, 25,978.35 and 8,565.30

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Solution

The fourth proportional to 17,340.66, 25,978.35 and 8,565.30 is: 12,831.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,340.66 : 25,978.35 = 8,565.30 : x
  2. Step 2: Convert to fraction form
    17,340.66/25,978.35 = 8,565.30/x
  3. Step 3: Cross multiply
    17,340.66x = 25,978.35 × 8,565.30
  4. Step 4: Simplify right side
    17,340.66x = 222,512,361.26
  5. Step 5: Solve for x
    x = 222,512,361.26/17,340.66
  6. Step 6: Final answer
    x = 12,831.83

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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.