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Finding the Fourth Proportional to 16,588.67, 24,881.92 and 6,200.15

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Solution

The fourth proportional to 16,588.67, 24,881.92 and 6,200.15 is: 9,299.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,588.67 : 24,881.92 = 6,200.15 : x
  2. Step 2: Convert to fraction form
    16,588.67/24,881.92 = 6,200.15/x
  3. Step 3: Cross multiply
    16,588.67x = 24,881.92 × 6,200.15
  4. Step 4: Simplify right side
    16,588.67x = 154,271,496.38
  5. Step 5: Solve for x
    x = 154,271,496.38/16,588.67
  6. Step 6: Final answer
    x = 9,299.81

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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.