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Finding the Fourth Proportional to 16,878.98, 25,334.36 and 8,564.96

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Solution

The fourth proportional to 16,878.98, 25,334.36 and 8,564.96 is: 12,855.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,878.98 : 25,334.36 = 8,564.96 : x
  2. Step 2: Convert to fraction form
    16,878.98/25,334.36 = 8,564.96/x
  3. Step 3: Cross multiply
    16,878.98x = 25,334.36 × 8,564.96
  4. Step 4: Simplify right side
    16,878.98x = 216,987,722.27
  5. Step 5: Solve for x
    x = 216,987,722.27/16,878.98
  6. Step 6: Final answer
    x = 12,855.50

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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.