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Finding the Fourth Proportional to 17,900.16, 24,701.84 and 9,942.24

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Solution

The fourth proportional to 17,900.16, 24,701.84 and 9,942.24 is: 13,720.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,900.16 : 24,701.84 = 9,942.24 : x
  2. Step 2: Convert to fraction form
    17,900.16/24,701.84 = 9,942.24/x
  3. Step 3: Cross multiply
    17,900.16x = 24,701.84 × 9,942.24
  4. Step 4: Simplify right side
    17,900.16x = 245,591,621.72
  5. Step 5: Solve for x
    x = 245,591,621.72/17,900.16
  6. Step 6: Final answer
    x = 13,720.08

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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.