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Finding the Fourth Proportional to 16,500.90, 24,732.75 and 8,186.87

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Solution

The fourth proportional to 16,500.90, 24,732.75 and 8,186.87 is: 12,271.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.90 : 24,732.75 = 8,186.87 : x
  2. Step 2: Convert to fraction form
    16,500.90/24,732.75 = 8,186.87/x
  3. Step 3: Cross multiply
    16,500.90x = 24,732.75 × 8,186.87
  4. Step 4: Simplify right side
    16,500.90x = 202,483,808.99
  5. Step 5: Solve for x
    x = 202,483,808.99/16,500.90
  6. Step 6: Final answer
    x = 12,271.08

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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.