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Finding the Fourth Proportional to 12,468.90, 18,694.98 and 5,889

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Solution

The fourth proportional to 12,468.90, 18,694.98 and 5,889 is: 8,829.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.90 : 18,694.98 = 5,889 : x
  2. Step 2: Convert to fraction form
    12,468.90/18,694.98 = 5,889/x
  3. Step 3: Cross multiply
    12,468.90x = 18,694.98 × 5,889
  4. Step 4: Simplify right side
    12,468.90x = 110,094,737.22
  5. Step 5: Solve for x
    x = 110,094,737.22/12,468.90
  6. Step 6: Final answer
    x = 8,829.55

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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.