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Finding the Fourth Proportional to 12,329.40, 18,494.10 and 10,378.20

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Solution

The fourth proportional to 12,329.40, 18,494.10 and 10,378.20 is: 15,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,329.40 : 18,494.10 = 10,378.20 : x
  2. Step 2: Convert to fraction form
    12,329.40/18,494.10 = 10,378.20/x
  3. Step 3: Cross multiply
    12,329.40x = 18,494.10 × 10,378.20
  4. Step 4: Simplify right side
    12,329.40x = 191,935,468.62
  5. Step 5: Solve for x
    x = 191,935,468.62/12,329.40
  6. Step 6: Final answer
    x = 15,567.30

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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.