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Finding the Fourth Proportional to 23,275.94, 34,909.72 and 9,956.43

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Solution

The fourth proportional to 23,275.94, 34,909.72 and 9,956.43 is: 14,932.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,275.94 : 34,909.72 = 9,956.43 : x
  2. Step 2: Convert to fraction form
    23,275.94/34,909.72 = 9,956.43/x
  3. Step 3: Cross multiply
    23,275.94x = 34,909.72 × 9,956.43
  4. Step 4: Simplify right side
    23,275.94x = 347,576,183.50
  5. Step 5: Solve for x
    x = 347,576,183.50/23,275.94
  6. Step 6: Final answer
    x = 14,932.85

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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.