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Finding the Fourth Proportional to 26,344, 39,533.18 and 9,704.20

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Solution

The fourth proportional to 26,344, 39,533.18 and 9,704.20 is: 14,562.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,344 : 39,533.18 = 9,704.20 : x
  2. Step 2: Convert to fraction form
    26,344/39,533.18 = 9,704.20/x
  3. Step 3: Cross multiply
    26,344x = 39,533.18 × 9,704.20
  4. Step 4: Simplify right side
    26,344x = 383,637,885.36
  5. Step 5: Solve for x
    x = 383,637,885.36/26,344
  6. Step 6: Final answer
    x = 14,562.63

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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.