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Finding the Fourth Proportional to 16,697.16, 25,046.51 and 9,296.03

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Solution

The fourth proportional to 16,697.16, 25,046.51 and 9,296.03 is: 13,944.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,697.16 : 25,046.51 = 9,296.03 : x
  2. Step 2: Convert to fraction form
    16,697.16/25,046.51 = 9,296.03/x
  3. Step 3: Cross multiply
    16,697.16x = 25,046.51 × 9,296.03
  4. Step 4: Simplify right side
    16,697.16x = 232,832,936.64
  5. Step 5: Solve for x
    x = 232,832,936.64/16,697.16
  6. Step 6: Final answer
    x = 13,944.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.