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Finding the Fourth Proportional to 12,465.83, 17,203.39 and 7,162.31

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Solution

The fourth proportional to 12,465.83, 17,203.39 and 7,162.31 is: 9,884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.83 : 17,203.39 = 7,162.31 : x
  2. Step 2: Convert to fraction form
    12,465.83/17,203.39 = 7,162.31/x
  3. Step 3: Cross multiply
    12,465.83x = 17,203.39 × 7,162.31
  4. Step 4: Simplify right side
    12,465.83x = 123,215,908.31
  5. Step 5: Solve for x
    x = 123,215,908.31/12,465.83
  6. Step 6: Final answer
    x = 9,884.30

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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.