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Finding the Fourth Proportional to 12,442.23, 17,163.74 and 7,402.87

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Solution

The fourth proportional to 12,442.23, 17,163.74 and 7,402.87 is: 10,212.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.23 : 17,163.74 = 7,402.87 : x
  2. Step 2: Convert to fraction form
    12,442.23/17,163.74 = 7,402.87/x
  3. Step 3: Cross multiply
    12,442.23x = 17,163.74 × 7,402.87
  4. Step 4: Simplify right side
    12,442.23x = 127,060,935.93
  5. Step 5: Solve for x
    x = 127,060,935.93/12,442.23
  6. Step 6: Final answer
    x = 10,212.07

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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.