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Finding the Fourth Proportional to 17,927.08, 24,738.24 and 9,969.10

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Solution

The fourth proportional to 17,927.08, 24,738.24 and 9,969.10 is: 13,756.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,927.08 : 24,738.24 = 9,969.10 : x
  2. Step 2: Convert to fraction form
    17,927.08/24,738.24 = 9,969.10/x
  3. Step 3: Cross multiply
    17,927.08x = 24,738.24 × 9,969.10
  4. Step 4: Simplify right side
    17,927.08x = 246,617,988.38
  5. Step 5: Solve for x
    x = 246,617,988.38/17,927.08
  6. Step 6: Final answer
    x = 13,756.73

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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.