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Finding the Fourth Proportional to 23,941.83, 35,889.29 and 8,938

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Solution

The fourth proportional to 23,941.83, 35,889.29 and 8,938 is: 13,398.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,941.83 : 35,889.29 = 8,938 : x
  2. Step 2: Convert to fraction form
    23,941.83/35,889.29 = 8,938/x
  3. Step 3: Cross multiply
    23,941.83x = 35,889.29 × 8,938
  4. Step 4: Simplify right side
    23,941.83x = 320,778,474.02
  5. Step 5: Solve for x
    x = 320,778,474.02/23,941.83
  6. Step 6: Final answer
    x = 13,398.24

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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.