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Finding the Fourth Proportional to 24,578.34, 33,918.03 and 13,400.34

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Solution

The fourth proportional to 24,578.34, 33,918.03 and 13,400.34 is: 18,492.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,578.34 : 33,918.03 = 13,400.34 : x
  2. Step 2: Convert to fraction form
    24,578.34/33,918.03 = 13,400.34/x
  3. Step 3: Cross multiply
    24,578.34x = 33,918.03 × 13,400.34
  4. Step 4: Simplify right side
    24,578.34x = 454,513,134.13
  5. Step 5: Solve for x
    x = 454,513,134.13/24,578.34
  6. Step 6: Final answer
    x = 18,492.43

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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.