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Finding the Fourth Proportional to 24,093.72, 36,137.16 and 9,309.60

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Solution

The fourth proportional to 24,093.72, 36,137.16 and 9,309.60 is: 13,963.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,093.72 : 36,137.16 = 9,309.60 : x
  2. Step 2: Convert to fraction form
    24,093.72/36,137.16 = 9,309.60/x
  3. Step 3: Cross multiply
    24,093.72x = 36,137.16 × 9,309.60
  4. Step 4: Simplify right side
    24,093.72x = 336,422,504.74
  5. Step 5: Solve for x
    x = 336,422,504.74/24,093.72
  6. Step 6: Final answer
    x = 13,963.08

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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.