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Finding the Fourth Proportional to 23,876.67, 35,819.40 and 7,867.11

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Solution

The fourth proportional to 23,876.67, 35,819.40 and 7,867.11 is: 11,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,876.67 : 35,819.40 = 7,867.11 : x
  2. Step 2: Convert to fraction form
    23,876.67/35,819.40 = 7,867.11/x
  3. Step 3: Cross multiply
    23,876.67x = 35,819.40 × 7,867.11
  4. Step 4: Simplify right side
    23,876.67x = 281,795,159.93
  5. Step 5: Solve for x
    x = 281,795,159.93/23,876.67
  6. Step 6: Final answer
    x = 11,802.11

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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.