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Finding the Fourth Proportional to 17,647.75, 24,353.90 and 10,195.75

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Solution

The fourth proportional to 17,647.75, 24,353.90 and 10,195.75 is: 14,070.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.75 : 24,353.90 = 10,195.75 : x
  2. Step 2: Convert to fraction form
    17,647.75/24,353.90 = 10,195.75/x
  3. Step 3: Cross multiply
    17,647.75x = 24,353.90 × 10,195.75
  4. Step 4: Simplify right side
    17,647.75x = 248,306,224.95
  5. Step 5: Solve for x
    x = 248,306,224.95/17,647.75
  6. Step 6: Final answer
    x = 14,070.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.