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Finding the Fourth Proportional to 26,491.50, 39,737.26 and 9,855.72

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Solution

The fourth proportional to 26,491.50, 39,737.26 and 9,855.72 is: 14,783.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,491.50 : 39,737.26 = 9,855.72 : x
  2. Step 2: Convert to fraction form
    26,491.50/39,737.26 = 9,855.72/x
  3. Step 3: Cross multiply
    26,491.50x = 39,737.26 × 9,855.72
  4. Step 4: Simplify right side
    26,491.50x = 391,639,308.13
  5. Step 5: Solve for x
    x = 391,639,308.13/26,491.50
  6. Step 6: Final answer
    x = 14,783.58

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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.