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Finding the Fourth Proportional to 21,292.92, 31,924.65 and 9,440.22

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Solution

The fourth proportional to 21,292.92, 31,924.65 and 9,440.22 is: 14,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,292.92 : 31,924.65 = 9,440.22 : x
  2. Step 2: Convert to fraction form
    21,292.92/31,924.65 = 9,440.22/x
  3. Step 3: Cross multiply
    21,292.92x = 31,924.65 × 9,440.22
  4. Step 4: Simplify right side
    21,292.92x = 301,375,719.42
  5. Step 5: Solve for x
    x = 301,375,719.42/21,292.92
  6. Step 6: Final answer
    x = 14,153.80

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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.