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Finding the Fourth Proportional to 12,777.65, 19,175.78 and 6,542.87

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Solution

The fourth proportional to 12,777.65, 19,175.78 and 6,542.87 is: 9,819.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.65 : 19,175.78 = 6,542.87 : x
  2. Step 2: Convert to fraction form
    12,777.65/19,175.78 = 6,542.87/x
  3. Step 3: Cross multiply
    12,777.65x = 19,175.78 × 6,542.87
  4. Step 4: Simplify right side
    12,777.65x = 125,464,699.99
  5. Step 5: Solve for x
    x = 125,464,699.99/12,777.65
  6. Step 6: Final answer
    x = 9,819.08

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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.