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Finding the Fourth Proportional to 17,648.40, 26,474.16 and 5,168.40

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Solution

The fourth proportional to 17,648.40, 26,474.16 and 5,168.40 is: 7,753.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.40 : 26,474.16 = 5,168.40 : x
  2. Step 2: Convert to fraction form
    17,648.40/26,474.16 = 5,168.40/x
  3. Step 3: Cross multiply
    17,648.40x = 26,474.16 × 5,168.40
  4. Step 4: Simplify right side
    17,648.40x = 136,829,048.54
  5. Step 5: Solve for x
    x = 136,829,048.54/17,648.40
  6. Step 6: Final answer
    x = 7,753.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.