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Finding the Fourth Proportional to 24,340.50, 33,589.89 and 13,162.50

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Solution

The fourth proportional to 24,340.50, 33,589.89 and 13,162.50 is: 18,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,340.50 : 33,589.89 = 13,162.50 : x
  2. Step 2: Convert to fraction form
    24,340.50/33,589.89 = 13,162.50/x
  3. Step 3: Cross multiply
    24,340.50x = 33,589.89 × 13,162.50
  4. Step 4: Simplify right side
    24,340.50x = 442,126,927.13
  5. Step 5: Solve for x
    x = 442,126,927.13/24,340.50
  6. Step 6: Final answer
    x = 18,164.25

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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.