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Finding the Fourth Proportional to 23,921, 35,867.04 and 9,131

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Solution

The fourth proportional to 23,921, 35,867.04 and 9,131 is: 13,690.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,921 : 35,867.04 = 9,131 : x
  2. Step 2: Convert to fraction form
    23,921/35,867.04 = 9,131/x
  3. Step 3: Cross multiply
    23,921x = 35,867.04 × 9,131
  4. Step 4: Simplify right side
    23,921x = 327,501,942.24
  5. Step 5: Solve for x
    x = 327,501,942.24/23,921
  6. Step 6: Final answer
    x = 13,690.98

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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.