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Finding the Fourth Proportional to 23,876.64, 35,815.64 and 6,346.49

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Solution

The fourth proportional to 23,876.64, 35,815.64 and 6,346.49 is: 9,519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,876.64 : 35,815.64 = 6,346.49 : x
  2. Step 2: Convert to fraction form
    23,876.64/35,815.64 = 6,346.49/x
  3. Step 3: Cross multiply
    23,876.64x = 35,815.64 × 6,346.49
  4. Step 4: Simplify right side
    23,876.64x = 227,303,390.29
  5. Step 5: Solve for x
    x = 227,303,390.29/23,876.64
  6. Step 6: Final answer
    x = 9,519.91

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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.