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Finding the Fourth Proportional to 12,004.80, 16,565.76 and 6,698.88

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Solution

The fourth proportional to 12,004.80, 16,565.76 and 6,698.88 is: 9,243.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.80 : 16,565.76 = 6,698.88 : x
  2. Step 2: Convert to fraction form
    12,004.80/16,565.76 = 6,698.88/x
  3. Step 3: Cross multiply
    12,004.80x = 16,565.76 × 6,698.88
  4. Step 4: Simplify right side
    12,004.80x = 110,972,038.35
  5. Step 5: Solve for x
    x = 110,972,038.35/12,004.80
  6. Step 6: Final answer
    x = 9,243.97

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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.