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Finding the Fourth Proportional to 17,906.10, 24,707.67 and 10,350.96

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Solution

The fourth proportional to 17,906.10, 24,707.67 and 10,350.96 is: 14,282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,906.10 : 24,707.67 = 10,350.96 : x
  2. Step 2: Convert to fraction form
    17,906.10/24,707.67 = 10,350.96/x
  3. Step 3: Cross multiply
    17,906.10x = 24,707.67 × 10,350.96
  4. Step 4: Simplify right side
    17,906.10x = 255,748,103.86
  5. Step 5: Solve for x
    x = 255,748,103.86/17,906.10
  6. Step 6: Final answer
    x = 14,282.74

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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.