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Finding the Fourth Proportional to 16,643.40, 24,964.98 and 4,956.60

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Solution

The fourth proportional to 16,643.40, 24,964.98 and 4,956.60 is: 7,434.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,643.40 : 24,964.98 = 4,956.60 : x
  2. Step 2: Convert to fraction form
    16,643.40/24,964.98 = 4,956.60/x
  3. Step 3: Cross multiply
    16,643.40x = 24,964.98 × 4,956.60
  4. Step 4: Simplify right side
    16,643.40x = 123,741,419.87
  5. Step 5: Solve for x
    x = 123,741,419.87/16,643.40
  6. Step 6: Final answer
    x = 7,434.86

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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.