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Finding the Fourth Proportional to 27,119.34, 40,684.96 and 8,143.14

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Solution

The fourth proportional to 27,119.34, 40,684.96 and 8,143.14 is: 12,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,119.34 : 40,684.96 = 8,143.14 : x
  2. Step 2: Convert to fraction form
    27,119.34/40,684.96 = 8,143.14/x
  3. Step 3: Cross multiply
    27,119.34x = 40,684.96 × 8,143.14
  4. Step 4: Simplify right side
    27,119.34x = 331,303,325.17
  5. Step 5: Solve for x
    x = 331,303,325.17/27,119.34
  6. Step 6: Final answer
    x = 12,216.50

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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.