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Finding the Fourth Proportional to 24,397.76, 33,669.03 and 13,219.76

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Solution

The fourth proportional to 24,397.76, 33,669.03 and 13,219.76 is: 18,243.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,397.76 : 33,669.03 = 13,219.76 : x
  2. Step 2: Convert to fraction form
    24,397.76/33,669.03 = 13,219.76/x
  3. Step 3: Cross multiply
    24,397.76x = 33,669.03 × 13,219.76
  4. Step 4: Simplify right side
    24,397.76x = 445,096,496.03
  5. Step 5: Solve for x
    x = 445,096,496.03/24,397.76
  6. Step 6: Final answer
    x = 18,243.33

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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.