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Finding the Fourth Proportional to 24,232.80, 36,338.40 and 11,089.44

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Solution

The fourth proportional to 24,232.80, 36,338.40 and 11,089.44 is: 16,629.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,232.80 : 36,338.40 = 11,089.44 : x
  2. Step 2: Convert to fraction form
    24,232.80/36,338.40 = 11,089.44/x
  3. Step 3: Cross multiply
    24,232.80x = 36,338.40 × 11,089.44
  4. Step 4: Simplify right side
    24,232.80x = 402,972,506.50
  5. Step 5: Solve for x
    x = 402,972,506.50/24,232.80
  6. Step 6: Final answer
    x = 16,629.22

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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.