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Finding the Fourth Proportional to 12,021.84, 16,589.06 and 6,715.92

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Solution

The fourth proportional to 12,021.84, 16,589.06 and 6,715.92 is: 9,267.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,021.84 : 16,589.06 = 6,715.92 : x
  2. Step 2: Convert to fraction form
    12,021.84/16,589.06 = 6,715.92/x
  3. Step 3: Cross multiply
    12,021.84x = 16,589.06 × 6,715.92
  4. Step 4: Simplify right side
    12,021.84x = 111,410,799.84
  5. Step 5: Solve for x
    x = 111,410,799.84/12,021.84
  6. Step 6: Final answer
    x = 9,267.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.