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Finding the Fourth Proportional to 13,114.35, 19,671.66 and 10,498.48

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Solution

The fourth proportional to 13,114.35, 19,671.66 and 10,498.48 is: 15,747.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.35 : 19,671.66 = 10,498.48 : x
  2. Step 2: Convert to fraction form
    13,114.35/19,671.66 = 10,498.48/x
  3. Step 3: Cross multiply
    13,114.35x = 19,671.66 × 10,498.48
  4. Step 4: Simplify right side
    13,114.35x = 206,522,529.08
  5. Step 5: Solve for x
    x = 206,522,529.08/13,114.35
  6. Step 6: Final answer
    x = 15,747.83

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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.