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Finding the Fourth Proportional to 12,402.29, 18,604.44 and 5,824.89

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Solution

The fourth proportional to 12,402.29, 18,604.44 and 5,824.89 is: 8,737.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.29 : 18,604.44 = 5,824.89 : x
  2. Step 2: Convert to fraction form
    12,402.29/18,604.44 = 5,824.89/x
  3. Step 3: Cross multiply
    12,402.29x = 18,604.44 × 5,824.89
  4. Step 4: Simplify right side
    12,402.29x = 108,368,816.51
  5. Step 5: Solve for x
    x = 108,368,816.51/12,402.29
  6. Step 6: Final answer
    x = 8,737.81

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Why These Related Problems?

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