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Finding the Fourth Proportional to 24,468.58, 36,698.40 and 11,138.41

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Solution

The fourth proportional to 24,468.58, 36,698.40 and 11,138.41 is: 16,705.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,468.58 : 36,698.40 = 11,138.41 : x
  2. Step 2: Convert to fraction form
    24,468.58/36,698.40 = 11,138.41/x
  3. Step 3: Cross multiply
    24,468.58x = 36,698.40 × 11,138.41
  4. Step 4: Simplify right side
    24,468.58x = 408,761,825.54
  5. Step 5: Solve for x
    x = 408,761,825.54/24,468.58
  6. Step 6: Final answer
    x = 16,705.58

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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.