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Finding the Fourth Proportional to 16,758.66, 25,126.02 and 7,869.02

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Solution

The fourth proportional to 16,758.66, 25,126.02 and 7,869.02 is: 11,797.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,758.66 : 25,126.02 = 7,869.02 : x
  2. Step 2: Convert to fraction form
    16,758.66/25,126.02 = 7,869.02/x
  3. Step 3: Cross multiply
    16,758.66x = 25,126.02 × 7,869.02
  4. Step 4: Simplify right side
    16,758.66x = 197,717,028.27
  5. Step 5: Solve for x
    x = 197,717,028.27/16,758.66
  6. Step 6: Final answer
    x = 11,797.90

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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.