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Finding the Fourth Proportional to 17,634.86, 24,334.50 and 10,079.66

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Solution

The fourth proportional to 17,634.86, 24,334.50 and 10,079.66 is: 13,909.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634.86 : 24,334.50 = 10,079.66 : x
  2. Step 2: Convert to fraction form
    17,634.86/24,334.50 = 10,079.66/x
  3. Step 3: Cross multiply
    17,634.86x = 24,334.50 × 10,079.66
  4. Step 4: Simplify right side
    17,634.86x = 245,283,486.27
  5. Step 5: Solve for x
    x = 245,283,486.27/17,634.86
  6. Step 6: Final answer
    x = 13,909.01

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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.