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Finding the Fourth Proportional to 16,190.57, 24,277.50 and 7,417.97

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Solution

The fourth proportional to 16,190.57, 24,277.50 and 7,417.97 is: 11,123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,190.57 : 24,277.50 = 7,417.97 : x
  2. Step 2: Convert to fraction form
    16,190.57/24,277.50 = 7,417.97/x
  3. Step 3: Cross multiply
    16,190.57x = 24,277.50 × 7,417.97
  4. Step 4: Simplify right side
    16,190.57x = 180,089,766.68
  5. Step 5: Solve for x
    x = 180,089,766.68/16,190.57
  6. Step 6: Final answer
    x = 11,123.13

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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.