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Finding the Fourth Proportional to 12,390.50, 18,593.31 and 5,369.15

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Solution

The fourth proportional to 12,390.50, 18,593.31 and 5,369.15 is: 8,057.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,390.50 : 18,593.31 = 5,369.15 : x
  2. Step 2: Convert to fraction form
    12,390.50/18,593.31 = 5,369.15/x
  3. Step 3: Cross multiply
    12,390.50x = 18,593.31 × 5,369.15
  4. Step 4: Simplify right side
    12,390.50x = 99,830,177.42
  5. Step 5: Solve for x
    x = 99,830,177.42/12,390.50
  6. Step 6: Final answer
    x = 8,057.00

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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.