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Finding the Fourth Proportional to 13,129.61, 19,691.73 and 3,767.12

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Solution

The fourth proportional to 13,129.61, 19,691.73 and 3,767.12 is: 5,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.61 : 19,691.73 = 3,767.12 : x
  2. Step 2: Convert to fraction form
    13,129.61/19,691.73 = 3,767.12/x
  3. Step 3: Cross multiply
    13,129.61x = 19,691.73 × 3,767.12
  4. Step 4: Simplify right side
    13,129.61x = 74,181,109.92
  5. Step 5: Solve for x
    x = 74,181,109.92/13,129.61
  6. Step 6: Final answer
    x = 5,649.91

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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.