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Finding the Fourth Proportional to 12,237.40, 18,343.95 and 5,992.30

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Solution

The fourth proportional to 12,237.40, 18,343.95 and 5,992.30 is: 8,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,237.40 : 18,343.95 = 5,992.30 : x
  2. Step 2: Convert to fraction form
    12,237.40/18,343.95 = 5,992.30/x
  3. Step 3: Cross multiply
    12,237.40x = 18,343.95 × 5,992.30
  4. Step 4: Simplify right side
    12,237.40x = 109,922,451.59
  5. Step 5: Solve for x
    x = 109,922,451.59/12,237.40
  6. Step 6: Final answer
    x = 8,982.50

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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.