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Finding the Fourth Proportional to 24,509.68, 33,823.38 and 13,331.68

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Solution

The fourth proportional to 24,509.68, 33,823.38 and 13,331.68 is: 18,397.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.68 : 33,823.38 = 13,331.68 : x
  2. Step 2: Convert to fraction form
    24,509.68/33,823.38 = 13,331.68/x
  3. Step 3: Cross multiply
    24,509.68x = 33,823.38 × 13,331.68
  4. Step 4: Simplify right side
    24,509.68x = 450,922,478.68
  5. Step 5: Solve for x
    x = 450,922,478.68/24,509.68
  6. Step 6: Final answer
    x = 18,397.73

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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.