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Finding the Fourth Proportional to 27,295.95, 40,943.47 and 12,294.73

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Solution

The fourth proportional to 27,295.95, 40,943.47 and 12,294.73 is: 18,441.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,295.95 : 40,943.47 = 12,294.73 : x
  2. Step 2: Convert to fraction form
    27,295.95/40,943.47 = 12,294.73/x
  3. Step 3: Cross multiply
    27,295.95x = 40,943.47 × 12,294.73
  4. Step 4: Simplify right side
    27,295.95x = 503,388,642.72
  5. Step 5: Solve for x
    x = 503,388,642.72/27,295.95
  6. Step 6: Final answer
    x = 18,441.88

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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.