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Finding the Fourth Proportional to 16,809.70, 25,214.55 and 5,728.90

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Solution

The fourth proportional to 16,809.70, 25,214.55 and 5,728.90 is: 8,593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,809.70 : 25,214.55 = 5,728.90 : x
  2. Step 2: Convert to fraction form
    16,809.70/25,214.55 = 5,728.90/x
  3. Step 3: Cross multiply
    16,809.70x = 25,214.55 × 5,728.90
  4. Step 4: Simplify right side
    16,809.70x = 144,451,635.50
  5. Step 5: Solve for x
    x = 144,451,635.50/16,809.70
  6. Step 6: Final answer
    x = 8,593.35

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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.