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Finding the Fourth Proportional to 12,464.15, 17,200.96 and 7,157.97

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Solution

The fourth proportional to 12,464.15, 17,200.96 and 7,157.97 is: 9,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.15 : 17,200.96 = 7,157.97 : x
  2. Step 2: Convert to fraction form
    12,464.15/17,200.96 = 7,157.97/x
  3. Step 3: Cross multiply
    12,464.15x = 17,200.96 × 7,157.97
  4. Step 4: Simplify right side
    12,464.15x = 123,123,937.76
  5. Step 5: Solve for x
    x = 123,123,937.76/12,464.15
  6. Step 6: Final answer
    x = 9,878.25

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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.