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Finding the Fourth Proportional to 12,295.14, 18,396 and 7,468.62

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Solution

The fourth proportional to 12,295.14, 18,396 and 7,468.62 is: 11,174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.14 : 18,396 = 7,468.62 : x
  2. Step 2: Convert to fraction form
    12,295.14/18,396 = 7,468.62/x
  3. Step 3: Cross multiply
    12,295.14x = 18,396 × 7,468.62
  4. Step 4: Simplify right side
    12,295.14x = 137,392,733.52
  5. Step 5: Solve for x
    x = 137,392,733.52/12,295.14
  6. Step 6: Final answer
    x = 11,174.56

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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.