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Finding the Fourth Proportional to 23,765.40, 35,623.38 and 8,964.12

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Solution

The fourth proportional to 23,765.40, 35,623.38 and 8,964.12 is: 13,436.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,765.40 : 35,623.38 = 8,964.12 : x
  2. Step 2: Convert to fraction form
    23,765.40/35,623.38 = 8,964.12/x
  3. Step 3: Cross multiply
    23,765.40x = 35,623.38 × 8,964.12
  4. Step 4: Simplify right side
    23,765.40x = 319,332,253.13
  5. Step 5: Solve for x
    x = 319,332,253.13/23,765.40
  6. Step 6: Final answer
    x = 13,436.86

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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.