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Finding the Fourth Proportional to 12,438.64, 17,164.33 and 7,900.96

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Solution

The fourth proportional to 12,438.64, 17,164.33 and 7,900.96 is: 10,902.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.64 : 17,164.33 = 7,900.96 : x
  2. Step 2: Convert to fraction form
    12,438.64/17,164.33 = 7,900.96/x
  3. Step 3: Cross multiply
    12,438.64x = 17,164.33 × 7,900.96
  4. Step 4: Simplify right side
    12,438.64x = 135,614,684.76
  5. Step 5: Solve for x
    x = 135,614,684.76/12,438.64
  6. Step 6: Final answer
    x = 10,902.69

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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.