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Finding the Fourth Proportional to 12,003.68, 16,565.91 and 6,699.53

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Solution

The fourth proportional to 12,003.68, 16,565.91 and 6,699.53 is: 9,245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.68 : 16,565.91 = 6,699.53 : x
  2. Step 2: Convert to fraction form
    12,003.68/16,565.91 = 6,699.53/x
  3. Step 3: Cross multiply
    12,003.68x = 16,565.91 × 6,699.53
  4. Step 4: Simplify right side
    12,003.68x = 110,983,811.02
  5. Step 5: Solve for x
    x = 110,983,811.02/12,003.68
  6. Step 6: Final answer
    x = 9,245.82

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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.