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Finding the Fourth Proportional to 22,666.80, 34,011.34 and 10,195.64

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Solution

The fourth proportional to 22,666.80, 34,011.34 and 10,195.64 is: 15,298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,666.80 : 34,011.34 = 10,195.64 : x
  2. Step 2: Convert to fraction form
    22,666.80/34,011.34 = 10,195.64/x
  3. Step 3: Cross multiply
    22,666.80x = 34,011.34 × 10,195.64
  4. Step 4: Simplify right side
    22,666.80x = 346,767,378.56
  5. Step 5: Solve for x
    x = 346,767,378.56/22,666.80
  6. Step 6: Final answer
    x = 15,298.47

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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.