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Finding the Fourth Proportional to 16,809.96, 25,213.02 and 4,497

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Solution

The fourth proportional to 16,809.96, 25,213.02 and 4,497 is: 6,744.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,809.96 : 25,213.02 = 4,497 : x
  2. Step 2: Convert to fraction form
    16,809.96/25,213.02 = 4,497/x
  3. Step 3: Cross multiply
    16,809.96x = 25,213.02 × 4,497
  4. Step 4: Simplify right side
    16,809.96x = 113,382,950.94
  5. Step 5: Solve for x
    x = 113,382,950.94/16,809.96
  6. Step 6: Final answer
    x = 6,744.99

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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.