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Finding the Fourth Proportional to 22,770.96, 34,156.74 and 7,980.29

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Solution

The fourth proportional to 22,770.96, 34,156.74 and 7,980.29 is: 11,970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,770.96 : 34,156.74 = 7,980.29 : x
  2. Step 2: Convert to fraction form
    22,770.96/34,156.74 = 7,980.29/x
  3. Step 3: Cross multiply
    22,770.96x = 34,156.74 × 7,980.29
  4. Step 4: Simplify right side
    22,770.96x = 272,580,519.87
  5. Step 5: Solve for x
    x = 272,580,519.87/22,770.96
  6. Step 6: Final answer
    x = 11,970.53

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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.