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Finding the Fourth Proportional to 23,992.88, 35,989.32 and 8,410.40

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Solution

The fourth proportional to 23,992.88, 35,989.32 and 8,410.40 is: 12,615.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,992.88 : 35,989.32 = 8,410.40 : x
  2. Step 2: Convert to fraction form
    23,992.88/35,989.32 = 8,410.40/x
  3. Step 3: Cross multiply
    23,992.88x = 35,989.32 × 8,410.40
  4. Step 4: Simplify right side
    23,992.88x = 302,684,576.93
  5. Step 5: Solve for x
    x = 302,684,576.93/23,992.88
  6. Step 6: Final answer
    x = 12,615.60

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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.