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Finding the Fourth Proportional to 24,492, 33,796.26 and 13,881.54

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Solution

The fourth proportional to 24,492, 33,796.26 and 13,881.54 is: 19,154.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,492 : 33,796.26 = 13,881.54 : x
  2. Step 2: Convert to fraction form
    24,492/33,796.26 = 13,881.54/x
  3. Step 3: Cross multiply
    24,492x = 33,796.26 × 13,881.54
  4. Step 4: Simplify right side
    24,492x = 469,144,135.04
  5. Step 5: Solve for x
    x = 469,144,135.04/24,492
  6. Step 6: Final answer
    x = 19,154.99

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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.