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Finding the Fourth Proportional to 26,423.52, 39,623.76 and 9,996

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Solution

The fourth proportional to 26,423.52, 39,623.76 and 9,996 is: 14,989.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,423.52 : 39,623.76 = 9,996 : x
  2. Step 2: Convert to fraction form
    26,423.52/39,623.76 = 9,996/x
  3. Step 3: Cross multiply
    26,423.52x = 39,623.76 × 9,996
  4. Step 4: Simplify right side
    26,423.52x = 396,079,104.96
  5. Step 5: Solve for x
    x = 396,079,104.96/26,423.52
  6. Step 6: Final answer
    x = 14,989.64

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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.