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Finding the Fourth Proportional to 14,716.99, 22,081.06 and 6,823.29

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Solution

The fourth proportional to 14,716.99, 22,081.06 and 6,823.29 is: 10,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.99 : 22,081.06 = 6,823.29 : x
  2. Step 2: Convert to fraction form
    14,716.99/22,081.06 = 6,823.29/x
  3. Step 3: Cross multiply
    14,716.99x = 22,081.06 × 6,823.29
  4. Step 4: Simplify right side
    14,716.99x = 150,665,404.63
  5. Step 5: Solve for x
    x = 150,665,404.63/14,716.99
  6. Step 6: Final answer
    x = 10,237.51

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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.