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Finding the Fourth Proportional to 12,438.84, 17,157.78 and 7,399.47

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Solution

The fourth proportional to 12,438.84, 17,157.78 and 7,399.47 is: 10,206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.84 : 17,157.78 = 7,399.47 : x
  2. Step 2: Convert to fraction form
    12,438.84/17,157.78 = 7,399.47/x
  3. Step 3: Cross multiply
    12,438.84x = 17,157.78 × 7,399.47
  4. Step 4: Simplify right side
    12,438.84x = 126,958,478.38
  5. Step 5: Solve for x
    x = 126,958,478.38/12,438.84
  6. Step 6: Final answer
    x = 10,206.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.