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Finding the Fourth Proportional to 12,004.05, 16,565.59 and 6,698.90

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Solution

The fourth proportional to 12,004.05, 16,565.59 and 6,698.90 is: 9,244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.05 : 16,565.59 = 6,698.90 : x
  2. Step 2: Convert to fraction form
    12,004.05/16,565.59 = 6,698.90/x
  3. Step 3: Cross multiply
    12,004.05x = 16,565.59 × 6,698.90
  4. Step 4: Simplify right side
    12,004.05x = 110,971,230.85
  5. Step 5: Solve for x
    x = 110,971,230.85/12,004.05
  6. Step 6: Final answer
    x = 9,244.48

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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.