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Finding the Fourth Proportional to 23,124.68, 34,658.70 and 9,949.16

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Solution

The fourth proportional to 23,124.68, 34,658.70 and 9,949.16 is: 14,911.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,124.68 : 34,658.70 = 9,949.16 : x
  2. Step 2: Convert to fraction form
    23,124.68/34,658.70 = 9,949.16/x
  3. Step 3: Cross multiply
    23,124.68x = 34,658.70 × 9,949.16
  4. Step 4: Simplify right side
    23,124.68x = 344,824,951.69
  5. Step 5: Solve for x
    x = 344,824,951.69/23,124.68
  6. Step 6: Final answer
    x = 14,911.56

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1.5x scale

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.