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Finding the Fourth Proportional to 24,175.40, 36,266.70 and 6,645.56

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Solution

The fourth proportional to 24,175.40, 36,266.70 and 6,645.56 is: 9,969.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,175.40 : 36,266.70 = 6,645.56 : x
  2. Step 2: Convert to fraction form
    24,175.40/36,266.70 = 6,645.56/x
  3. Step 3: Cross multiply
    24,175.40x = 36,266.70 × 6,645.56
  4. Step 4: Simplify right side
    24,175.40x = 241,012,530.85
  5. Step 5: Solve for x
    x = 241,012,530.85/24,175.40
  6. Step 6: Final answer
    x = 9,969.33

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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.