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Finding the Fourth Proportional to 12,032.76, 16,605.50 and 6,727.53

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Solution

The fourth proportional to 12,032.76, 16,605.50 and 6,727.53 is: 9,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.76 : 16,605.50 = 6,727.53 : x
  2. Step 2: Convert to fraction form
    12,032.76/16,605.50 = 6,727.53/x
  3. Step 3: Cross multiply
    12,032.76x = 16,605.50 × 6,727.53
  4. Step 4: Simplify right side
    12,032.76x = 111,713,965.78
  5. Step 5: Solve for x
    x = 111,713,965.78/12,032.76
  6. Step 6: Final answer
    x = 9,284.15

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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.