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Finding the Fourth Proportional to 12,003.82, 16,565.49 and 6,698.52

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Solution

The fourth proportional to 12,003.82, 16,565.49 and 6,698.52 is: 9,244.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.82 : 16,565.49 = 6,698.52 : x
  2. Step 2: Convert to fraction form
    12,003.82/16,565.49 = 6,698.52/x
  3. Step 3: Cross multiply
    12,003.82x = 16,565.49 × 6,698.52
  4. Step 4: Simplify right side
    12,003.82x = 110,964,266.07
  5. Step 5: Solve for x
    x = 110,964,266.07/12,003.82
  6. Step 6: Final answer
    x = 9,244.08

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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.