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Finding the Fourth Proportional to 24,322, 33,564.60 and 13,711.12

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Solution

The fourth proportional to 24,322, 33,564.60 and 13,711.12 is: 18,921.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,322 : 33,564.60 = 13,711.12 : x
  2. Step 2: Convert to fraction form
    24,322/33,564.60 = 13,711.12/x
  3. Step 3: Cross multiply
    24,322x = 33,564.60 × 13,711.12
  4. Step 4: Simplify right side
    24,322x = 460,208,258.35
  5. Step 5: Solve for x
    x = 460,208,258.35/24,322
  6. Step 6: Final answer
    x = 18,921.48

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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.