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Finding the Fourth Proportional to 12,759.38, 19,142.96 and 6,523.77

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Solution

The fourth proportional to 12,759.38, 19,142.96 and 6,523.77 is: 9,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,759.38 : 19,142.96 = 6,523.77 : x
  2. Step 2: Convert to fraction form
    12,759.38/19,142.96 = 6,523.77/x
  3. Step 3: Cross multiply
    12,759.38x = 19,142.96 × 6,523.77
  4. Step 4: Simplify right side
    12,759.38x = 124,884,199.65
  5. Step 5: Solve for x
    x = 124,884,199.65/12,759.38
  6. Step 6: Final answer
    x = 9,787.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.