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Finding the Fourth Proportional to 22,675.69, 34,014.30 and 10,195.75

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Solution

The fourth proportional to 22,675.69, 34,014.30 and 10,195.75 is: 15,293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,675.69 : 34,014.30 = 10,195.75 : x
  2. Step 2: Convert to fraction form
    22,675.69/34,014.30 = 10,195.75/x
  3. Step 3: Cross multiply
    22,675.69x = 34,014.30 × 10,195.75
  4. Step 4: Simplify right side
    22,675.69x = 346,801,303.51
  5. Step 5: Solve for x
    x = 346,801,303.51/22,675.69
  6. Step 6: Final answer
    x = 15,293.97

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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.