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Finding the Fourth Proportional to 13,074.78, 19,601.13 and 5,673.66

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Solution

The fourth proportional to 13,074.78, 19,601.13 and 5,673.66 is: 8,505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074.78 : 19,601.13 = 5,673.66 : x
  2. Step 2: Convert to fraction form
    13,074.78/19,601.13 = 5,673.66/x
  3. Step 3: Cross multiply
    13,074.78x = 19,601.13 × 5,673.66
  4. Step 4: Simplify right side
    13,074.78x = 111,210,147.24
  5. Step 5: Solve for x
    x = 111,210,147.24/13,074.78
  6. Step 6: Final answer
    x = 8,505.70

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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.