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Finding the Fourth Proportional to 24,578.54, 33,918.42 and 13,400.54

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Solution

The fourth proportional to 24,578.54, 33,918.42 and 13,400.54 is: 18,492.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,578.54 : 33,918.42 = 13,400.54 : x
  2. Step 2: Convert to fraction form
    24,578.54/33,918.42 = 13,400.54/x
  3. Step 3: Cross multiply
    24,578.54x = 33,918.42 × 13,400.54
  4. Step 4: Simplify right side
    24,578.54x = 454,525,143.95
  5. Step 5: Solve for x
    x = 454,525,143.95/24,578.54
  6. Step 6: Final answer
    x = 18,492.76

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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.