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Finding the Fourth Proportional to 17,663.86, 24,369.24 and 10,106.16

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Solution

The fourth proportional to 17,663.86, 24,369.24 and 10,106.16 is: 13,942.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,663.86 : 24,369.24 = 10,106.16 : x
  2. Step 2: Convert to fraction form
    17,663.86/24,369.24 = 10,106.16/x
  3. Step 3: Cross multiply
    17,663.86x = 24,369.24 × 10,106.16
  4. Step 4: Simplify right side
    17,663.86x = 246,279,438.52
  5. Step 5: Solve for x
    x = 246,279,438.52/17,663.86
  6. Step 6: Final answer
    x = 13,942.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.