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Finding the Fourth Proportional to 16,843.50, 25,247.97 and 6,988.50

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Solution

The fourth proportional to 16,843.50, 25,247.97 and 6,988.50 is: 10,475.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,843.50 : 25,247.97 = 6,988.50 : x
  2. Step 2: Convert to fraction form
    16,843.50/25,247.97 = 6,988.50/x
  3. Step 3: Cross multiply
    16,843.50x = 25,247.97 × 6,988.50
  4. Step 4: Simplify right side
    16,843.50x = 176,445,438.35
  5. Step 5: Solve for x
    x = 176,445,438.35/16,843.50
  6. Step 6: Final answer
    x = 10,475.58

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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.