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Finding the Fourth Proportional to 26,433.02, 39,638 and 10,005.50

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Solution

The fourth proportional to 26,433.02, 39,638 and 10,005.50 is: 15,003.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,433.02 : 39,638 = 10,005.50 : x
  2. Step 2: Convert to fraction form
    26,433.02/39,638 = 10,005.50/x
  3. Step 3: Cross multiply
    26,433.02x = 39,638 × 10,005.50
  4. Step 4: Simplify right side
    26,433.02x = 396,598,009
  5. Step 5: Solve for x
    x = 396,598,009/26,433.02
  6. Step 6: Final answer
    x = 15,003.89

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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.