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Finding the Fourth Proportional to 15,953.89, 23,922.86 and 9,292.65

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Solution

The fourth proportional to 15,953.89, 23,922.86 and 9,292.65 is: 13,934.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,953.89 : 23,922.86 = 9,292.65 : x
  2. Step 2: Convert to fraction form
    15,953.89/23,922.86 = 9,292.65/x
  3. Step 3: Cross multiply
    15,953.89x = 23,922.86 × 9,292.65
  4. Step 4: Simplify right side
    15,953.89x = 222,306,764.98
  5. Step 5: Solve for x
    x = 222,306,764.98/15,953.89
  6. Step 6: Final answer
    x = 13,934.33

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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.