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Finding the Fourth Proportional to 24,198.90, 36,302.93 and 8,403.31

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Solution

The fourth proportional to 24,198.90, 36,302.93 and 8,403.31 is: 12,606.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198.90 : 36,302.93 = 8,403.31 : x
  2. Step 2: Convert to fraction form
    24,198.90/36,302.93 = 8,403.31/x
  3. Step 3: Cross multiply
    24,198.90x = 36,302.93 × 8,403.31
  4. Step 4: Simplify right side
    24,198.90x = 305,064,774.70
  5. Step 5: Solve for x
    x = 305,064,774.70/24,198.90
  6. Step 6: Final answer
    x = 12,606.56

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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.