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Finding the Fourth Proportional to 27,967.95, 41,958.50 and 9,247.98

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Solution

The fourth proportional to 27,967.95, 41,958.50 and 9,247.98 is: 13,874.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,967.95 : 41,958.50 = 9,247.98 : x
  2. Step 2: Convert to fraction form
    27,967.95/41,958.50 = 9,247.98/x
  3. Step 3: Cross multiply
    27,967.95x = 41,958.50 × 9,247.98
  4. Step 4: Simplify right side
    27,967.95x = 388,031,322.59
  5. Step 5: Solve for x
    x = 388,031,322.59/27,967.95
  6. Step 6: Final answer
    x = 13,874.14

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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.