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Finding the Fourth Proportional to 12,462.24, 17,197.11 and 7,153.32

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Solution

The fourth proportional to 12,462.24, 17,197.11 and 7,153.32 is: 9,871.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.24 : 17,197.11 = 7,153.32 : x
  2. Step 2: Convert to fraction form
    12,462.24/17,197.11 = 7,153.32/x
  3. Step 3: Cross multiply
    12,462.24x = 17,197.11 × 7,153.32
  4. Step 4: Simplify right side
    12,462.24x = 123,016,430.91
  5. Step 5: Solve for x
    x = 123,016,430.91/12,462.24
  6. Step 6: Final answer
    x = 9,871.13

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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.