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Finding the Fourth Proportional to 16,199.10, 22,354.65 and 9,127.80

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Solution

The fourth proportional to 16,199.10, 22,354.65 and 9,127.80 is: 12,596.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.10 : 22,354.65 = 9,127.80 : x
  2. Step 2: Convert to fraction form
    16,199.10/22,354.65 = 9,127.80/x
  3. Step 3: Cross multiply
    16,199.10x = 22,354.65 × 9,127.80
  4. Step 4: Simplify right side
    16,199.10x = 204,048,724.67
  5. Step 5: Solve for x
    x = 204,048,724.67/16,199.10
  6. Step 6: Final answer
    x = 12,596.30

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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.