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Finding the Fourth Proportional to 16,751.61, 23,117.24 and 9,198.43

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Solution

The fourth proportional to 16,751.61, 23,117.24 and 9,198.43 is: 12,693.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,751.61 : 23,117.24 = 9,198.43 : x
  2. Step 2: Convert to fraction form
    16,751.61/23,117.24 = 9,198.43/x
  3. Step 3: Cross multiply
    16,751.61x = 23,117.24 × 9,198.43
  4. Step 4: Simplify right side
    16,751.61x = 212,642,313.96
  5. Step 5: Solve for x
    x = 212,642,313.96/16,751.61
  6. Step 6: Final answer
    x = 12,693.84

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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.