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Finding the Fourth Proportional to 27,087.41, 40,647.20 and 12,296.14

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Solution

The fourth proportional to 27,087.41, 40,647.20 and 12,296.14 is: 18,451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,087.41 : 40,647.20 = 12,296.14 : x
  2. Step 2: Convert to fraction form
    27,087.41/40,647.20 = 12,296.14/x
  3. Step 3: Cross multiply
    27,087.41x = 40,647.20 × 12,296.14
  4. Step 4: Simplify right side
    27,087.41x = 499,803,498.71
  5. Step 5: Solve for x
    x = 499,803,498.71/27,087.41
  6. Step 6: Final answer
    x = 18,451.50

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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.