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Finding the Fourth Proportional to 23,651.02, 35,469.24 and 8,065

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Solution

The fourth proportional to 23,651.02, 35,469.24 and 8,065 is: 12,095.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,651.02 : 35,469.24 = 8,065 : x
  2. Step 2: Convert to fraction form
    23,651.02/35,469.24 = 8,065/x
  3. Step 3: Cross multiply
    23,651.02x = 35,469.24 × 8,065
  4. Step 4: Simplify right side
    23,651.02x = 286,059,420.60
  5. Step 5: Solve for x
    x = 286,059,420.60/23,651.02
  6. Step 6: Final answer
    x = 12,095.01

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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.