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Finding the Fourth Proportional to 13,251.24, 19,876.86 and 7,404.66

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Solution

The fourth proportional to 13,251.24, 19,876.86 and 7,404.66 is: 11,106.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,251.24 : 19,876.86 = 7,404.66 : x
  2. Step 2: Convert to fraction form
    13,251.24/19,876.86 = 7,404.66/x
  3. Step 3: Cross multiply
    13,251.24x = 19,876.86 × 7,404.66
  4. Step 4: Simplify right side
    13,251.24x = 147,181,390.17
  5. Step 5: Solve for x
    x = 147,181,390.17/13,251.24
  6. Step 6: Final answer
    x = 11,106.99

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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.