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Finding the Fourth Proportional to 17,716.52, 24,472.16 and 13,232.49

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Solution

The fourth proportional to 17,716.52, 24,472.16 and 13,232.49 is: 18,278.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,716.52 : 24,472.16 = 13,232.49 : x
  2. Step 2: Convert to fraction form
    17,716.52/24,472.16 = 13,232.49/x
  3. Step 3: Cross multiply
    17,716.52x = 24,472.16 × 13,232.49
  4. Step 4: Simplify right side
    17,716.52x = 323,827,612.48
  5. Step 5: Solve for x
    x = 323,827,612.48/17,716.52
  6. Step 6: Final answer
    x = 18,278.29

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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.