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Finding the Fourth Proportional to 12,462.72, 17,199.36 and 7,157.76

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Solution

The fourth proportional to 12,462.72, 17,199.36 and 7,157.76 is: 9,878.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.72 : 17,199.36 = 7,157.76 : x
  2. Step 2: Convert to fraction form
    12,462.72/17,199.36 = 7,157.76/x
  3. Step 3: Cross multiply
    12,462.72x = 17,199.36 × 7,157.76
  4. Step 4: Simplify right side
    12,462.72x = 123,108,891.03
  5. Step 5: Solve for x
    x = 123,108,891.03/12,462.72
  6. Step 6: Final answer
    x = 9,878.17

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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.