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Finding the Fourth Proportional to 23,964.64, 35,947.92 and 11,649.76

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Solution

The fourth proportional to 23,964.64, 35,947.92 and 11,649.76 is: 17,475.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,964.64 : 35,947.92 = 11,649.76 : x
  2. Step 2: Convert to fraction form
    23,964.64/35,947.92 = 11,649.76/x
  3. Step 3: Cross multiply
    23,964.64x = 35,947.92 × 11,649.76
  4. Step 4: Simplify right side
    23,964.64x = 418,784,640.50
  5. Step 5: Solve for x
    x = 418,784,640.50/23,964.64
  6. Step 6: Final answer
    x = 17,475.11

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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.