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Finding the Fourth Proportional to 22,262, 30,722.52 and 12,326

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Solution

The fourth proportional to 22,262, 30,722.52 and 12,326 is: 17,010.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,262 : 30,722.52 = 12,326 : x
  2. Step 2: Convert to fraction form
    22,262/30,722.52 = 12,326/x
  3. Step 3: Cross multiply
    22,262x = 30,722.52 × 12,326
  4. Step 4: Simplify right side
    22,262x = 378,685,781.52
  5. Step 5: Solve for x
    x = 378,685,781.52/22,262
  6. Step 6: Final answer
    x = 17,010.41

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