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Finding the Fourth Proportional to 17,578.11, 24,257.17 and 10,503.17

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Solution

The fourth proportional to 17,578.11, 24,257.17 and 10,503.17 is: 14,494.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.11 : 24,257.17 = 10,503.17 : x
  2. Step 2: Convert to fraction form
    17,578.11/24,257.17 = 10,503.17/x
  3. Step 3: Cross multiply
    17,578.11x = 24,257.17 × 10,503.17
  4. Step 4: Simplify right side
    17,578.11x = 254,777,163.04
  5. Step 5: Solve for x
    x = 254,777,163.04/17,578.11
  6. Step 6: Final answer
    x = 14,494.00

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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.