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Finding the Fourth Proportional to 26,624, 39,913.44 and 17,832

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Solution

The fourth proportional to 26,624, 39,913.44 and 17,832 is: 26,732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,624 : 39,913.44 = 17,832 : x
  2. Step 2: Convert to fraction form
    26,624/39,913.44 = 17,832/x
  3. Step 3: Cross multiply
    26,624x = 39,913.44 × 17,832
  4. Step 4: Simplify right side
    26,624x = 711,736,462.08
  5. Step 5: Solve for x
    x = 711,736,462.08/26,624
  6. Step 6: Final answer
    x = 26,732.89

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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.