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Finding the Fourth Proportional to 13,065.48, 19,612.07 and 8,138.61

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Solution

The fourth proportional to 13,065.48, 19,612.07 and 8,138.61 is: 12,216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,065.48 : 19,612.07 = 8,138.61 : x
  2. Step 2: Convert to fraction form
    13,065.48/19,612.07 = 8,138.61/x
  3. Step 3: Cross multiply
    13,065.48x = 19,612.07 × 8,138.61
  4. Step 4: Simplify right side
    13,065.48x = 159,614,948.33
  5. Step 5: Solve for x
    x = 159,614,948.33/13,065.48
  6. Step 6: Final answer
    x = 12,216.54

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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.