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Finding the Fourth Proportional to 23,712.34, 35,573.91 and 8,129.02

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Solution

The fourth proportional to 23,712.34, 35,573.91 and 8,129.02 is: 12,195.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,712.34 : 35,573.91 = 8,129.02 : x
  2. Step 2: Convert to fraction form
    23,712.34/35,573.91 = 8,129.02/x
  3. Step 3: Cross multiply
    23,712.34x = 35,573.91 × 8,129.02
  4. Step 4: Simplify right side
    23,712.34x = 289,181,025.87
  5. Step 5: Solve for x
    x = 289,181,025.87/23,712.34
  6. Step 6: Final answer
    x = 12,195.38

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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.