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Finding the Fourth Proportional to 24,402.78, 33,675.78 and 13,224.78

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Solution

The fourth proportional to 24,402.78, 33,675.78 and 13,224.78 is: 18,250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,402.78 : 33,675.78 = 13,224.78 : x
  2. Step 2: Convert to fraction form
    24,402.78/33,675.78 = 13,224.78/x
  3. Step 3: Cross multiply
    24,402.78x = 33,675.78 × 13,224.78
  4. Step 4: Simplify right side
    24,402.78x = 445,354,781.83
  5. Step 5: Solve for x
    x = 445,354,781.83/24,402.78
  6. Step 6: Final answer
    x = 18,250.17

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1.5x scale

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.