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Finding the Fourth Proportional to 22,105.68, 30,495.52 and 13,148.16

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Solution

The fourth proportional to 22,105.68, 30,495.52 and 13,148.16 is: 18,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,105.68 : 30,495.52 = 13,148.16 : x
  2. Step 2: Convert to fraction form
    22,105.68/30,495.52 = 13,148.16/x
  3. Step 3: Cross multiply
    22,105.68x = 30,495.52 × 13,148.16
  4. Step 4: Simplify right side
    22,105.68x = 400,959,976.24
  5. Step 5: Solve for x
    x = 400,959,976.24/22,105.68
  6. Step 6: Final answer
    x = 18,138.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.