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Finding the Fourth Proportional to 22,706, 34,034.76 and 10,993.52

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Solution

The fourth proportional to 22,706, 34,034.76 and 10,993.52 is: 16,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706 : 34,034.76 = 10,993.52 : x
  2. Step 2: Convert to fraction form
    22,706/34,034.76 = 10,993.52/x
  3. Step 3: Cross multiply
    22,706x = 34,034.76 × 10,993.52
  4. Step 4: Simplify right side
    22,706x = 374,161,814.76
  5. Step 5: Solve for x
    x = 374,161,814.76/22,706
  6. Step 6: Final answer
    x = 16,478.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.