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Finding the Fourth Proportional to 16,564.54, 24,844.71 and 5,468.50

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Solution

The fourth proportional to 16,564.54, 24,844.71 and 5,468.50 is: 8,202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.54 : 24,844.71 = 5,468.50 : x
  2. Step 2: Convert to fraction form
    16,564.54/24,844.71 = 5,468.50/x
  3. Step 3: Cross multiply
    16,564.54x = 24,844.71 × 5,468.50
  4. Step 4: Simplify right side
    16,564.54x = 135,863,317.44
  5. Step 5: Solve for x
    x = 135,863,317.44/16,564.54
  6. Step 6: Final answer
    x = 8,202.06

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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.