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Finding the Fourth Proportional to 27,900.99, 41,857.65 and 9,186.81

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Solution

The fourth proportional to 27,900.99, 41,857.65 and 9,186.81 is: 13,782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,900.99 : 41,857.65 = 9,186.81 : x
  2. Step 2: Convert to fraction form
    27,900.99/41,857.65 = 9,186.81/x
  3. Step 3: Cross multiply
    27,900.99x = 41,857.65 × 9,186.81
  4. Step 4: Simplify right side
    27,900.99x = 384,538,277.60
  5. Step 5: Solve for x
    x = 384,538,277.60/27,900.99
  6. Step 6: Final answer
    x = 13,782.24

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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.