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Finding the Fourth Proportional to 23,711.34, 35,572.41 and 8,128.02

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Solution

The fourth proportional to 23,711.34, 35,572.41 and 8,128.02 is: 12,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,711.34 : 35,572.41 = 8,128.02 : x
  2. Step 2: Convert to fraction form
    23,711.34/35,572.41 = 8,128.02/x
  3. Step 3: Cross multiply
    23,711.34x = 35,572.41 × 8,128.02
  4. Step 4: Simplify right side
    23,711.34x = 289,133,259.93
  5. Step 5: Solve for x
    x = 289,133,259.93/23,711.34
  6. Step 6: Final answer
    x = 12,193.88

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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.