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Finding the Fourth Proportional to 23,442, 35,162.96 and 9,590.96

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Solution

The fourth proportional to 23,442, 35,162.96 and 9,590.96 is: 14,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,442 : 35,162.96 = 9,590.96 : x
  2. Step 2: Convert to fraction form
    23,442/35,162.96 = 9,590.96/x
  3. Step 3: Cross multiply
    23,442x = 35,162.96 × 9,590.96
  4. Step 4: Simplify right side
    23,442x = 337,246,542.84
  5. Step 5: Solve for x
    x = 337,246,542.84/23,442
  6. Step 6: Final answer
    x = 14,386.42

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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.