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Finding the Fourth Proportional to 12,352.10, 17,048.14 and 7,872.26

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Solution

The fourth proportional to 12,352.10, 17,048.14 and 7,872.26 is: 10,865.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352.10 : 17,048.14 = 7,872.26 : x
  2. Step 2: Convert to fraction form
    12,352.10/17,048.14 = 7,872.26/x
  3. Step 3: Cross multiply
    12,352.10x = 17,048.14 × 7,872.26
  4. Step 4: Simplify right side
    12,352.10x = 134,207,285.68
  5. Step 5: Solve for x
    x = 134,207,285.68/12,352.10
  6. Step 6: Final answer
    x = 10,865.14

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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.