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Finding the Fourth Proportional to 23,791.72, 35,687.58 and 9,933.16

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Solution

The fourth proportional to 23,791.72, 35,687.58 and 9,933.16 is: 14,899.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,791.72 : 35,687.58 = 9,933.16 : x
  2. Step 2: Convert to fraction form
    23,791.72/35,687.58 = 9,933.16/x
  3. Step 3: Cross multiply
    23,791.72x = 35,687.58 × 9,933.16
  4. Step 4: Simplify right side
    23,791.72x = 354,490,442.15
  5. Step 5: Solve for x
    x = 354,490,442.15/23,791.72
  6. Step 6: Final answer
    x = 14,899.74

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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.