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Finding the Fourth Proportional to 23,222.68, 32,046.76 and 12,612.08

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Solution

The fourth proportional to 23,222.68, 32,046.76 and 12,612.08 is: 17,404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,222.68 : 32,046.76 = 12,612.08 : x
  2. Step 2: Convert to fraction form
    23,222.68/32,046.76 = 12,612.08/x
  3. Step 3: Cross multiply
    23,222.68x = 32,046.76 × 12,612.08
  4. Step 4: Simplify right side
    23,222.68x = 404,176,300.86
  5. Step 5: Solve for x
    x = 404,176,300.86/23,222.68
  6. Step 6: Final answer
    x = 17,404.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.