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Finding the Fourth Proportional to 17,981.94, 24,817.48 and 10,328.22

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Solution

The fourth proportional to 17,981.94, 24,817.48 and 10,328.22 is: 14,254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,981.94 : 24,817.48 = 10,328.22 : x
  2. Step 2: Convert to fraction form
    17,981.94/24,817.48 = 10,328.22/x
  3. Step 3: Cross multiply
    17,981.94x = 24,817.48 × 10,328.22
  4. Step 4: Simplify right side
    17,981.94x = 256,320,414.00
  5. Step 5: Solve for x
    x = 256,320,414.00/17,981.94
  6. Step 6: Final answer
    x = 14,254.33

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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.