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Finding the Fourth Proportional to 12,465.96, 17,203.56 and 7,162.44

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Solution

The fourth proportional to 12,465.96, 17,203.56 and 7,162.44 is: 9,884.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.96 : 17,203.56 = 7,162.44 : x
  2. Step 2: Convert to fraction form
    12,465.96/17,203.56 = 7,162.44/x
  3. Step 3: Cross multiply
    12,465.96x = 17,203.56 × 7,162.44
  4. Step 4: Simplify right side
    12,465.96x = 123,219,466.29
  5. Step 5: Solve for x
    x = 123,219,466.29/12,465.96
  6. Step 6: Final answer
    x = 9,884.47

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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.