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Finding the Fourth Proportional to 24,534, 33,856.94 and 13,356

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Solution

The fourth proportional to 24,534, 33,856.94 and 13,356 is: 18,431.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,534 : 33,856.94 = 13,356 : x
  2. Step 2: Convert to fraction form
    24,534/33,856.94 = 13,356/x
  3. Step 3: Cross multiply
    24,534x = 33,856.94 × 13,356
  4. Step 4: Simplify right side
    24,534x = 452,193,290.64
  5. Step 5: Solve for x
    x = 452,193,290.64/24,534
  6. Step 6: Final answer
    x = 18,431.29

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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.