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Finding the Fourth Proportional to 17,861.40, 24,642.90 and 11,143.80

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Solution

The fourth proportional to 17,861.40, 24,642.90 and 11,143.80 is: 15,374.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,861.40 : 24,642.90 = 11,143.80 : x
  2. Step 2: Convert to fraction form
    17,861.40/24,642.90 = 11,143.80/x
  3. Step 3: Cross multiply
    17,861.40x = 24,642.90 × 11,143.80
  4. Step 4: Simplify right side
    17,861.40x = 274,615,549.02
  5. Step 5: Solve for x
    x = 274,615,549.02/17,861.40
  6. Step 6: Final answer
    x = 15,374.81

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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.