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Finding the Fourth Proportional to 16,299.84, 24,449.49 and 5,206.45

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Solution

The fourth proportional to 16,299.84, 24,449.49 and 5,206.45 is: 7,809.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,299.84 : 24,449.49 = 5,206.45 : x
  2. Step 2: Convert to fraction form
    16,299.84/24,449.49 = 5,206.45/x
  3. Step 3: Cross multiply
    16,299.84x = 24,449.49 × 5,206.45
  4. Step 4: Simplify right side
    16,299.84x = 127,295,047.21
  5. Step 5: Solve for x
    x = 127,295,047.21/16,299.84
  6. Step 6: Final answer
    x = 7,809.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.