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Finding the Fourth Proportional to 12,324.14, 18,496.10 and 6,402.77

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Solution

The fourth proportional to 12,324.14, 18,496.10 and 6,402.77 is: 9,609.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324.14 : 18,496.10 = 6,402.77 : x
  2. Step 2: Convert to fraction form
    12,324.14/18,496.10 = 6,402.77/x
  3. Step 3: Cross multiply
    12,324.14x = 18,496.10 × 6,402.77
  4. Step 4: Simplify right side
    12,324.14x = 118,426,274.20
  5. Step 5: Solve for x
    x = 118,426,274.20/12,324.14
  6. Step 6: Final answer
    x = 9,609.29

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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.