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Finding the Fourth Proportional to 12,767.80, 19,151.06 and 4,445.24

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Solution

The fourth proportional to 12,767.80, 19,151.06 and 4,445.24 is: 6,667.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.80 : 19,151.06 = 4,445.24 : x
  2. Step 2: Convert to fraction form
    12,767.80/19,151.06 = 4,445.24/x
  3. Step 3: Cross multiply
    12,767.80x = 19,151.06 × 4,445.24
  4. Step 4: Simplify right side
    12,767.80x = 85,131,057.95
  5. Step 5: Solve for x
    x = 85,131,057.95/12,767.80
  6. Step 6: Final answer
    x = 6,667.64

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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.