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Finding the Fourth Proportional to 16,964.80, 25,375.20 and 15,222.40

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Solution

The fourth proportional to 16,964.80, 25,375.20 and 15,222.40 is: 22,768.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,964.80 : 25,375.20 = 15,222.40 : x
  2. Step 2: Convert to fraction form
    16,964.80/25,375.20 = 15,222.40/x
  3. Step 3: Cross multiply
    16,964.80x = 25,375.20 × 15,222.40
  4. Step 4: Simplify right side
    16,964.80x = 386,271,444.48
  5. Step 5: Solve for x
    x = 386,271,444.48/16,964.80
  6. Step 6: Final answer
    x = 22,768.99

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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.