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Finding the Fourth Proportional to 27,811.17, 41,716.80 and 9,343.17

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Solution

The fourth proportional to 27,811.17, 41,716.80 and 9,343.17 is: 14,014.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,811.17 : 41,716.80 = 9,343.17 : x
  2. Step 2: Convert to fraction form
    27,811.17/41,716.80 = 9,343.17/x
  3. Step 3: Cross multiply
    27,811.17x = 41,716.80 × 9,343.17
  4. Step 4: Simplify right side
    27,811.17x = 389,767,154.26
  5. Step 5: Solve for x
    x = 389,767,154.26/27,811.17
  6. Step 6: Final answer
    x = 14,014.77

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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.