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Finding the Fourth Proportional to 16,400, 24,604.16 and 4,713.23

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Solution

The fourth proportional to 16,400, 24,604.16 and 4,713.23 is: 7,071.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400 : 24,604.16 = 4,713.23 : x
  2. Step 2: Convert to fraction form
    16,400/24,604.16 = 4,713.23/x
  3. Step 3: Cross multiply
    16,400x = 24,604.16 × 4,713.23
  4. Step 4: Simplify right side
    16,400x = 115,965,065.04
  5. Step 5: Solve for x
    x = 115,965,065.04/16,400
  6. Step 6: Final answer
    x = 7,071.04

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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.