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Finding the Fourth Proportional to 26,588.84, 39,845.64 and 14,747.82

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Solution

The fourth proportional to 26,588.84, 39,845.64 and 14,747.82 is: 22,100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,588.84 : 39,845.64 = 14,747.82 : x
  2. Step 2: Convert to fraction form
    26,588.84/39,845.64 = 14,747.82/x
  3. Step 3: Cross multiply
    26,588.84x = 39,845.64 × 14,747.82
  4. Step 4: Simplify right side
    26,588.84x = 587,636,326.50
  5. Step 5: Solve for x
    x = 587,636,326.50/26,588.84
  6. Step 6: Final answer
    x = 22,100.87

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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.