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Finding the Fourth Proportional to 12,497.27, 18,736.62 and 7,565.73

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Solution

The fourth proportional to 12,497.27, 18,736.62 and 7,565.73 is: 11,342.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.27 : 18,736.62 = 7,565.73 : x
  2. Step 2: Convert to fraction form
    12,497.27/18,736.62 = 7,565.73/x
  3. Step 3: Cross multiply
    12,497.27x = 18,736.62 × 7,565.73
  4. Step 4: Simplify right side
    12,497.27x = 141,756,208.03
  5. Step 5: Solve for x
    x = 141,756,208.03/12,497.27
  6. Step 6: Final answer
    x = 11,342.98

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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.