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Finding the Fourth Proportional to 12,200.76, 16,836.90 and 7,723.08

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Solution

The fourth proportional to 12,200.76, 16,836.90 and 7,723.08 is: 10,657.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.76 : 16,836.90 = 7,723.08 : x
  2. Step 2: Convert to fraction form
    12,200.76/16,836.90 = 7,723.08/x
  3. Step 3: Cross multiply
    12,200.76x = 16,836.90 × 7,723.08
  4. Step 4: Simplify right side
    12,200.76x = 130,032,725.65
  5. Step 5: Solve for x
    x = 130,032,725.65/12,200.76
  6. Step 6: Final answer
    x = 10,657.76

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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.