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Finding the Fourth Proportional to 22,882.80, 34,325.76 and 7,089.23

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Solution

The fourth proportional to 22,882.80, 34,325.76 and 7,089.23 is: 10,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,882.80 : 34,325.76 = 7,089.23 : x
  2. Step 2: Convert to fraction form
    22,882.80/34,325.76 = 7,089.23/x
  3. Step 3: Cross multiply
    22,882.80x = 34,325.76 × 7,089.23
  4. Step 4: Simplify right side
    22,882.80x = 243,343,035.94
  5. Step 5: Solve for x
    x = 243,343,035.94/22,882.80
  6. Step 6: Final answer
    x = 10,634.32

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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.