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Finding the Fourth Proportional to 24,617.31, 33,971.72 and 13,439.31

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Solution

The fourth proportional to 24,617.31, 33,971.72 and 13,439.31 is: 18,546.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,617.31 : 33,971.72 = 13,439.31 : x
  2. Step 2: Convert to fraction form
    24,617.31/33,971.72 = 13,439.31/x
  3. Step 3: Cross multiply
    24,617.31x = 33,971.72 × 13,439.31
  4. Step 4: Simplify right side
    24,617.31x = 456,556,409.12
  5. Step 5: Solve for x
    x = 456,556,409.12/24,617.31
  6. Step 6: Final answer
    x = 18,546.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.