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Finding the Fourth Proportional to 17,832.86, 24,615.54 and 10,282.22

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Solution

The fourth proportional to 17,832.86, 24,615.54 and 10,282.22 is: 14,193.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,832.86 : 24,615.54 = 10,282.22 : x
  2. Step 2: Convert to fraction form
    17,832.86/24,615.54 = 10,282.22/x
  3. Step 3: Cross multiply
    17,832.86x = 24,615.54 × 10,282.22
  4. Step 4: Simplify right side
    17,832.86x = 253,102,397.70
  5. Step 5: Solve for x
    x = 253,102,397.70/17,832.86
  6. Step 6: Final answer
    x = 14,193.03

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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.