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Finding the Fourth Proportional to 12,003.81, 16,565.07 and 6,698.49

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Solution

The fourth proportional to 12,003.81, 16,565.07 and 6,698.49 is: 9,243.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.81 : 16,565.07 = 6,698.49 : x
  2. Step 2: Convert to fraction form
    12,003.81/16,565.07 = 6,698.49/x
  3. Step 3: Cross multiply
    12,003.81x = 16,565.07 × 6,698.49
  4. Step 4: Simplify right side
    12,003.81x = 110,960,955.74
  5. Step 5: Solve for x
    x = 110,960,955.74/12,003.81
  6. Step 6: Final answer
    x = 9,243.81

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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.