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Finding the Fourth Proportional to 23,388.64, 35,071.59 and 7,801

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Solution

The fourth proportional to 23,388.64, 35,071.59 and 7,801 is: 11,697.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,388.64 : 35,071.59 = 7,801 : x
  2. Step 2: Convert to fraction form
    23,388.64/35,071.59 = 7,801/x
  3. Step 3: Cross multiply
    23,388.64x = 35,071.59 × 7,801
  4. Step 4: Simplify right side
    23,388.64x = 273,593,473.59
  5. Step 5: Solve for x
    x = 273,593,473.59/23,388.64
  6. Step 6: Final answer
    x = 11,697.71

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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.