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Finding the Fourth Proportional to 12,228.30, 18,342.45 and 10,932.30

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Solution

The fourth proportional to 12,228.30, 18,342.45 and 10,932.30 is: 16,398.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.30 : 18,342.45 = 10,932.30 : x
  2. Step 2: Convert to fraction form
    12,228.30/18,342.45 = 10,932.30/x
  3. Step 3: Cross multiply
    12,228.30x = 18,342.45 × 10,932.30
  4. Step 4: Simplify right side
    12,228.30x = 200,525,166.14
  5. Step 5: Solve for x
    x = 200,525,166.14/12,228.30
  6. Step 6: Final answer
    x = 16,398.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.