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Finding the Fourth Proportional to 17,640.27, 26,468.50 and 7,648.06

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Solution

The fourth proportional to 17,640.27, 26,468.50 and 7,648.06 is: 11,475.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640.27 : 26,468.50 = 7,648.06 : x
  2. Step 2: Convert to fraction form
    17,640.27/26,468.50 = 7,648.06/x
  3. Step 3: Cross multiply
    17,640.27x = 26,468.50 × 7,648.06
  4. Step 4: Simplify right side
    17,640.27x = 202,432,676.11
  5. Step 5: Solve for x
    x = 202,432,676.11/17,640.27
  6. Step 6: Final answer
    x = 11,475.60

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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.