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Finding the Fourth Proportional to 12,776.54, 19,169.55 and 5,754.42

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Solution

The fourth proportional to 12,776.54, 19,169.55 and 5,754.42 is: 8,633.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.54 : 19,169.55 = 5,754.42 : x
  2. Step 2: Convert to fraction form
    12,776.54/19,169.55 = 5,754.42/x
  3. Step 3: Cross multiply
    12,776.54x = 19,169.55 × 5,754.42
  4. Step 4: Simplify right side
    12,776.54x = 110,309,641.91
  5. Step 5: Solve for x
    x = 110,309,641.91/12,776.54
  6. Step 6: Final answer
    x = 8,633.77

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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.