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Finding the Fourth Proportional to 16,271.84, 24,414.18 and 6,913.88

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Solution

The fourth proportional to 16,271.84, 24,414.18 and 6,913.88 is: 10,373.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,271.84 : 24,414.18 = 6,913.88 : x
  2. Step 2: Convert to fraction form
    16,271.84/24,414.18 = 6,913.88/x
  3. Step 3: Cross multiply
    16,271.84x = 24,414.18 × 6,913.88
  4. Step 4: Simplify right side
    16,271.84x = 168,796,710.82
  5. Step 5: Solve for x
    x = 168,796,710.82/16,271.84
  6. Step 6: Final answer
    x = 10,373.55

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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.