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Finding the Fourth Proportional to 12,003.76, 16,565.12 and 6,698.26

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Solution

The fourth proportional to 12,003.76, 16,565.12 and 6,698.26 is: 9,243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.76 : 16,565.12 = 6,698.26 : x
  2. Step 2: Convert to fraction form
    12,003.76/16,565.12 = 6,698.26/x
  3. Step 3: Cross multiply
    12,003.76x = 16,565.12 × 6,698.26
  4. Step 4: Simplify right side
    12,003.76x = 110,957,480.69
  5. Step 5: Solve for x
    x = 110,957,480.69/12,003.76
  6. Step 6: Final answer
    x = 9,243.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.