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Finding the Fourth Proportional to 17,821.13, 24,593.15 and 10,369.13

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Solution

The fourth proportional to 17,821.13, 24,593.15 and 10,369.13 is: 14,309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821.13 : 24,593.15 = 10,369.13 : x
  2. Step 2: Convert to fraction form
    17,821.13/24,593.15 = 10,369.13/x
  3. Step 3: Cross multiply
    17,821.13x = 24,593.15 × 10,369.13
  4. Step 4: Simplify right side
    17,821.13x = 255,009,472.42
  5. Step 5: Solve for x
    x = 255,009,472.42/17,821.13
  6. Step 6: Final answer
    x = 14,309.39

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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.