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Finding the Fourth Proportional to 22,682.37, 34,011.90 and 10,191.69

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Solution

The fourth proportional to 22,682.37, 34,011.90 and 10,191.69 is: 15,282.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,682.37 : 34,011.90 = 10,191.69 : x
  2. Step 2: Convert to fraction form
    22,682.37/34,011.90 = 10,191.69/x
  3. Step 3: Cross multiply
    22,682.37x = 34,011.90 × 10,191.69
  4. Step 4: Simplify right side
    22,682.37x = 346,638,741.11
  5. Step 5: Solve for x
    x = 346,638,741.11/22,682.37
  6. Step 6: Final answer
    x = 15,282.30

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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.