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Finding the Fourth Proportional to 23,891.91, 32,971.50 and 13,282.26

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Solution

The fourth proportional to 23,891.91, 32,971.50 and 13,282.26 is: 18,329.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,891.91 : 32,971.50 = 13,282.26 : x
  2. Step 2: Convert to fraction form
    23,891.91/32,971.50 = 13,282.26/x
  3. Step 3: Cross multiply
    23,891.91x = 32,971.50 × 13,282.26
  4. Step 4: Simplify right side
    23,891.91x = 437,936,035.59
  5. Step 5: Solve for x
    x = 437,936,035.59/23,891.91
  6. Step 6: Final answer
    x = 18,329.89

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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.