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Finding the Fourth Proportional to 23,883.70, 35,829.90 and 7,874.14

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Solution

The fourth proportional to 23,883.70, 35,829.90 and 7,874.14 is: 11,812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,883.70 : 35,829.90 = 7,874.14 : x
  2. Step 2: Convert to fraction form
    23,883.70/35,829.90 = 7,874.14/x
  3. Step 3: Cross multiply
    23,883.70x = 35,829.90 × 7,874.14
  4. Step 4: Simplify right side
    23,883.70x = 282,129,648.79
  5. Step 5: Solve for x
    x = 282,129,648.79/23,883.70
  6. Step 6: Final answer
    x = 11,812.64

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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.