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Finding the Fourth Proportional to 16,805.42, 25,223.70 and 8,491.30

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Solution

The fourth proportional to 16,805.42, 25,223.70 and 8,491.30 is: 12,744.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805.42 : 25,223.70 = 8,491.30 : x
  2. Step 2: Convert to fraction form
    16,805.42/25,223.70 = 8,491.30/x
  3. Step 3: Cross multiply
    16,805.42x = 25,223.70 × 8,491.30
  4. Step 4: Simplify right side
    16,805.42x = 214,182,003.81
  5. Step 5: Solve for x
    x = 214,182,003.81/16,805.42
  6. Step 6: Final answer
    x = 12,744.82

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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.