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Finding the Fourth Proportional to 12,016.65, 16,582.86 and 6,639.07

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Solution

The fourth proportional to 12,016.65, 16,582.86 and 6,639.07 is: 9,161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,016.65 : 16,582.86 = 6,639.07 : x
  2. Step 2: Convert to fraction form
    12,016.65/16,582.86 = 6,639.07/x
  3. Step 3: Cross multiply
    12,016.65x = 16,582.86 × 6,639.07
  4. Step 4: Simplify right side
    12,016.65x = 110,094,768.34
  5. Step 5: Solve for x
    x = 110,094,768.34/12,016.65
  6. Step 6: Final answer
    x = 9,161.85

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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.