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Finding the Fourth Proportional to 24,198.70, 36,302.64 and 8,403.13

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Solution

The fourth proportional to 24,198.70, 36,302.64 and 8,403.13 is: 12,606.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198.70 : 36,302.64 = 8,403.13 : x
  2. Step 2: Convert to fraction form
    24,198.70/36,302.64 = 8,403.13/x
  3. Step 3: Cross multiply
    24,198.70x = 36,302.64 × 8,403.13
  4. Step 4: Simplify right side
    24,198.70x = 305,055,803.26
  5. Step 5: Solve for x
    x = 305,055,803.26/24,198.70
  6. Step 6: Final answer
    x = 12,606.29

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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.