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Finding the Fourth Proportional to 23,923.34, 35,887.40 and 9,144.69

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Solution

The fourth proportional to 23,923.34, 35,887.40 and 9,144.69 is: 13,717.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,923.34 : 35,887.40 = 9,144.69 : x
  2. Step 2: Convert to fraction form
    23,923.34/35,887.40 = 9,144.69/x
  3. Step 3: Cross multiply
    23,923.34x = 35,887.40 × 9,144.69
  4. Step 4: Simplify right side
    23,923.34x = 328,179,147.91
  5. Step 5: Solve for x
    x = 328,179,147.91/23,923.34
  6. Step 6: Final answer
    x = 13,717.95

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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.