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Finding the Fourth Proportional to 12,439.56, 17,166.60 and 7,723.84

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Solution

The fourth proportional to 12,439.56, 17,166.60 and 7,723.84 is: 10,658.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,439.56 : 17,166.60 = 7,723.84 : x
  2. Step 2: Convert to fraction form
    12,439.56/17,166.60 = 7,723.84/x
  3. Step 3: Cross multiply
    12,439.56x = 17,166.60 × 7,723.84
  4. Step 4: Simplify right side
    12,439.56x = 132,592,071.74
  5. Step 5: Solve for x
    x = 132,592,071.74/12,439.56
  6. Step 6: Final answer
    x = 10,658.90

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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.