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Finding the Fourth Proportional to 22,770.88, 34,157.76 and 7,189.12

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Solution

The fourth proportional to 22,770.88, 34,157.76 and 7,189.12 is: 10,784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,770.88 : 34,157.76 = 7,189.12 : x
  2. Step 2: Convert to fraction form
    22,770.88/34,157.76 = 7,189.12/x
  3. Step 3: Cross multiply
    22,770.88x = 34,157.76 × 7,189.12
  4. Step 4: Simplify right side
    22,770.88x = 245,564,235.57
  5. Step 5: Solve for x
    x = 245,564,235.57/22,770.88
  6. Step 6: Final answer
    x = 10,784.13

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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.