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Finding the Fourth Proportional to 12,758.69, 19,149.89 and 6,523.16

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Solution

The fourth proportional to 12,758.69, 19,149.89 and 6,523.16 is: 9,790.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.69 : 19,149.89 = 6,523.16 : x
  2. Step 2: Convert to fraction form
    12,758.69/19,149.89 = 6,523.16/x
  3. Step 3: Cross multiply
    12,758.69x = 19,149.89 × 6,523.16
  4. Step 4: Simplify right side
    12,758.69x = 124,917,775.81
  5. Step 5: Solve for x
    x = 124,917,775.81/12,758.69
  6. Step 6: Final answer
    x = 9,790.80

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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.