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Finding the Fourth Proportional to 24,436, 33,721.86 and 13,258

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Solution

The fourth proportional to 24,436, 33,721.86 and 13,258 is: 18,296.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,436 : 33,721.86 = 13,258 : x
  2. Step 2: Convert to fraction form
    24,436/33,721.86 = 13,258/x
  3. Step 3: Cross multiply
    24,436x = 33,721.86 × 13,258
  4. Step 4: Simplify right side
    24,436x = 447,084,419.88
  5. Step 5: Solve for x
    x = 447,084,419.88/24,436
  6. Step 6: Final answer
    x = 18,296.14

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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.