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Finding the Fourth Proportional to 12,189.98, 16,822.17 and 7,411.48

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Solution

The fourth proportional to 12,189.98, 16,822.17 and 7,411.48 is: 10,227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.98 : 16,822.17 = 7,411.48 : x
  2. Step 2: Convert to fraction form
    12,189.98/16,822.17 = 7,411.48/x
  3. Step 3: Cross multiply
    12,189.98x = 16,822.17 × 7,411.48
  4. Step 4: Simplify right side
    12,189.98x = 124,677,134.46
  5. Step 5: Solve for x
    x = 124,677,134.46/12,189.98
  6. Step 6: Final answer
    x = 10,227.84

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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.