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Finding the Fourth Proportional to 16,978.20, 25,466.68 and 4,498.32

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Solution

The fourth proportional to 16,978.20, 25,466.68 and 4,498.32 is: 6,747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,978.20 : 25,466.68 = 4,498.32 : x
  2. Step 2: Convert to fraction form
    16,978.20/25,466.68 = 4,498.32/x
  3. Step 3: Cross multiply
    16,978.20x = 25,466.68 × 4,498.32
  4. Step 4: Simplify right side
    16,978.20x = 114,557,275.98
  5. Step 5: Solve for x
    x = 114,557,275.98/16,978.20
  6. Step 6: Final answer
    x = 6,747.32

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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.