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Finding the Fourth Proportional to 26,548.16, 39,794.46 and 9,901.50

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Solution

The fourth proportional to 26,548.16, 39,794.46 and 9,901.50 is: 14,841.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,548.16 : 39,794.46 = 9,901.50 : x
  2. Step 2: Convert to fraction form
    26,548.16/39,794.46 = 9,901.50/x
  3. Step 3: Cross multiply
    26,548.16x = 39,794.46 × 9,901.50
  4. Step 4: Simplify right side
    26,548.16x = 394,024,845.69
  5. Step 5: Solve for x
    x = 394,024,845.69/26,548.16
  6. Step 6: Final answer
    x = 14,841.89

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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.