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Finding the Fourth Proportional to 24,296.76, 33,527.52 and 13,689

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Solution

The fourth proportional to 24,296.76, 33,527.52 and 13,689 is: 18,889.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,296.76 : 33,527.52 = 13,689 : x
  2. Step 2: Convert to fraction form
    24,296.76/33,527.52 = 13,689/x
  3. Step 3: Cross multiply
    24,296.76x = 33,527.52 × 13,689
  4. Step 4: Simplify right side
    24,296.76x = 458,958,221.28
  5. Step 5: Solve for x
    x = 458,958,221.28/24,296.76
  6. Step 6: Final answer
    x = 18,889.69

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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.