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Finding the Fourth Proportional to 16,878.50, 25,302.11 and 5,782.55

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Solution

The fourth proportional to 16,878.50, 25,302.11 and 5,782.55 is: 8,668.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,878.50 : 25,302.11 = 5,782.55 : x
  2. Step 2: Convert to fraction form
    16,878.50/25,302.11 = 5,782.55/x
  3. Step 3: Cross multiply
    16,878.50x = 25,302.11 × 5,782.55
  4. Step 4: Simplify right side
    16,878.50x = 146,310,750.52
  5. Step 5: Solve for x
    x = 146,310,750.52/16,878.50
  6. Step 6: Final answer
    x = 8,668.47

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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.