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Finding the Fourth Proportional to 23,834.88, 35,739.36 and 9,972

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Solution

The fourth proportional to 23,834.88, 35,739.36 and 9,972 is: 14,952.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,834.88 : 35,739.36 = 9,972 : x
  2. Step 2: Convert to fraction form
    23,834.88/35,739.36 = 9,972/x
  3. Step 3: Cross multiply
    23,834.88x = 35,739.36 × 9,972
  4. Step 4: Simplify right side
    23,834.88x = 356,392,897.92
  5. Step 5: Solve for x
    x = 356,392,897.92/23,834.88
  6. Step 6: Final answer
    x = 14,952.58

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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.