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Finding the Fourth Proportional to 16,753.74, 23,119.88 and 9,199.96

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Solution

The fourth proportional to 16,753.74, 23,119.88 and 9,199.96 is: 12,695.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,753.74 : 23,119.88 = 9,199.96 : x
  2. Step 2: Convert to fraction form
    16,753.74/23,119.88 = 9,199.96/x
  3. Step 3: Cross multiply
    16,753.74x = 23,119.88 × 9,199.96
  4. Step 4: Simplify right side
    16,753.74x = 212,701,971.20
  5. Step 5: Solve for x
    x = 212,701,971.20/16,753.74
  6. Step 6: Final answer
    x = 12,695.79

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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.