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Finding the Fourth Proportional to 22,673.50, 34,011.01 and 10,193.56

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Solution

The fourth proportional to 22,673.50, 34,011.01 and 10,193.56 is: 15,290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,673.50 : 34,011.01 = 10,193.56 : x
  2. Step 2: Convert to fraction form
    22,673.50/34,011.01 = 10,193.56/x
  3. Step 3: Cross multiply
    22,673.50x = 34,011.01 × 10,193.56
  4. Step 4: Simplify right side
    22,673.50x = 346,693,271.10
  5. Step 5: Solve for x
    x = 346,693,271.10/22,673.50
  6. Step 6: Final answer
    x = 15,290.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.