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Finding the Fourth Proportional to 22,970.67, 34,461.29 and 8,180.43

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Solution

The fourth proportional to 22,970.67, 34,461.29 and 8,180.43 is: 12,272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.67 : 34,461.29 = 8,180.43 : x
  2. Step 2: Convert to fraction form
    22,970.67/34,461.29 = 8,180.43/x
  3. Step 3: Cross multiply
    22,970.67x = 34,461.29 × 8,180.43
  4. Step 4: Simplify right side
    22,970.67x = 281,908,129.65
  5. Step 5: Solve for x
    x = 281,908,129.65/22,970.67
  6. Step 6: Final answer
    x = 12,272.53

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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.