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Finding the Fourth Proportional to 24,409, 33,684.42 and 13,231

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Solution

The fourth proportional to 24,409, 33,684.42 and 13,231 is: 18,258.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,409 : 33,684.42 = 13,231 : x
  2. Step 2: Convert to fraction form
    24,409/33,684.42 = 13,231/x
  3. Step 3: Cross multiply
    24,409x = 33,684.42 × 13,231
  4. Step 4: Simplify right side
    24,409x = 445,678,561.02
  5. Step 5: Solve for x
    x = 445,678,561.02/24,409
  6. Step 6: Final answer
    x = 18,258.78

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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.