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Finding the Fourth Proportional to 17,884.82, 24,682.17 and 9,927.17

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Solution

The fourth proportional to 17,884.82, 24,682.17 and 9,927.17 is: 13,700.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,884.82 : 24,682.17 = 9,927.17 : x
  2. Step 2: Convert to fraction form
    17,884.82/24,682.17 = 9,927.17/x
  3. Step 3: Cross multiply
    17,884.82x = 24,682.17 × 9,927.17
  4. Step 4: Simplify right side
    17,884.82x = 245,024,186.93
  5. Step 5: Solve for x
    x = 245,024,186.93/17,884.82
  6. Step 6: Final answer
    x = 13,700.12

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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.