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Finding the Fourth Proportional to 27,241.92, 40,828.86 and 11,641.32

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Solution

The fourth proportional to 27,241.92, 40,828.86 and 11,641.32 is: 17,447.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,241.92 : 40,828.86 = 11,641.32 : x
  2. Step 2: Convert to fraction form
    27,241.92/40,828.86 = 11,641.32/x
  3. Step 3: Cross multiply
    27,241.92x = 40,828.86 × 11,641.32
  4. Step 4: Simplify right side
    27,241.92x = 475,301,824.50
  5. Step 5: Solve for x
    x = 475,301,824.50/27,241.92
  6. Step 6: Final answer
    x = 17,447.44

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1.5x scale

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.