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Finding the Fourth Proportional to 26,164.91, 39,246.89 and 7,445.09

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Solution

The fourth proportional to 26,164.91, 39,246.89 and 7,445.09 is: 11,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,164.91 : 39,246.89 = 7,445.09 : x
  2. Step 2: Convert to fraction form
    26,164.91/39,246.89 = 7,445.09/x
  3. Step 3: Cross multiply
    26,164.91x = 39,246.89 × 7,445.09
  4. Step 4: Simplify right side
    26,164.91x = 292,196,628.27
  5. Step 5: Solve for x
    x = 292,196,628.27/26,164.91
  6. Step 6: Final answer
    x = 11,167.50

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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.