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Finding the Fourth Proportional to 16,463.62, 24,698 and 7,106.28

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Solution

The fourth proportional to 16,463.62, 24,698 and 7,106.28 is: 10,660.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,463.62 : 24,698 = 7,106.28 : x
  2. Step 2: Convert to fraction form
    16,463.62/24,698 = 7,106.28/x
  3. Step 3: Cross multiply
    16,463.62x = 24,698 × 7,106.28
  4. Step 4: Simplify right side
    16,463.62x = 175,510,903.44
  5. Step 5: Solve for x
    x = 175,510,903.44/16,463.62
  6. Step 6: Final answer
    x = 10,660.53

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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.