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Finding the Fourth Proportional to 24,551.78, 33,880.29 and 13,940

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Solution

The fourth proportional to 24,551.78, 33,880.29 and 13,940 is: 19,236.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,551.78 : 33,880.29 = 13,940 : x
  2. Step 2: Convert to fraction form
    24,551.78/33,880.29 = 13,940/x
  3. Step 3: Cross multiply
    24,551.78x = 33,880.29 × 13,940
  4. Step 4: Simplify right side
    24,551.78x = 472,291,242.60
  5. Step 5: Solve for x
    x = 472,291,242.60/24,551.78
  6. Step 6: Final answer
    x = 19,236.54

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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.