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Finding the Fourth Proportional to 22,666.40, 34,010.73 and 10,195.23

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Solution

The fourth proportional to 22,666.40, 34,010.73 and 10,195.23 is: 15,297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,666.40 : 34,010.73 = 10,195.23 : x
  2. Step 2: Convert to fraction form
    22,666.40/34,010.73 = 10,195.23/x
  3. Step 3: Cross multiply
    22,666.40x = 34,010.73 × 10,195.23
  4. Step 4: Simplify right side
    22,666.40x = 346,747,214.82
  5. Step 5: Solve for x
    x = 346,747,214.82/22,666.40
  6. Step 6: Final answer
    x = 15,297.85

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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.