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Finding the Fourth Proportional to 26,214, 39,327.48 and 7,746

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Solution

The fourth proportional to 26,214, 39,327.48 and 7,746 is: 11,620.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,214 : 39,327.48 = 7,746 : x
  2. Step 2: Convert to fraction form
    26,214/39,327.48 = 7,746/x
  3. Step 3: Cross multiply
    26,214x = 39,327.48 × 7,746
  4. Step 4: Simplify right side
    26,214x = 304,630,660.08
  5. Step 5: Solve for x
    x = 304,630,660.08/26,214
  6. Step 6: Final answer
    x = 11,620.91

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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.