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Finding the Fourth Proportional to 26,325.92, 36,339.84 and 16,256

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Solution

The fourth proportional to 26,325.92, 36,339.84 and 16,256 is: 22,439.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,325.92 : 36,339.84 = 16,256 : x
  2. Step 2: Convert to fraction form
    26,325.92/36,339.84 = 16,256/x
  3. Step 3: Cross multiply
    26,325.92x = 36,339.84 × 16,256
  4. Step 4: Simplify right side
    26,325.92x = 590,740,439.04
  5. Step 5: Solve for x
    x = 590,740,439.04/26,325.92
  6. Step 6: Final answer
    x = 22,439.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.