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Finding the Fourth Proportional to 16,586.04, 24,851.33 and 7,212

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Solution

The fourth proportional to 16,586.04, 24,851.33 and 7,212 is: 10,805.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.04 : 24,851.33 = 7,212 : x
  2. Step 2: Convert to fraction form
    16,586.04/24,851.33 = 7,212/x
  3. Step 3: Cross multiply
    16,586.04x = 24,851.33 × 7,212
  4. Step 4: Simplify right side
    16,586.04x = 179,227,755.90
  5. Step 5: Solve for x
    x = 179,227,755.90/16,586.04
  6. Step 6: Final answer
    x = 10,805.94

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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.