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Finding the Fourth Proportional to 16,679.21, 25,015.35 and 6,146.50

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Solution

The fourth proportional to 16,679.21, 25,015.35 and 6,146.50 is: 9,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,679.21 : 25,015.35 = 6,146.50 : x
  2. Step 2: Convert to fraction form
    16,679.21/25,015.35 = 6,146.50/x
  3. Step 3: Cross multiply
    16,679.21x = 25,015.35 × 6,146.50
  4. Step 4: Simplify right side
    16,679.21x = 153,756,729.05
  5. Step 5: Solve for x
    x = 153,756,729.05/16,679.21
  6. Step 6: Final answer
    x = 9,218.47

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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.