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Finding the Fourth Proportional to 13,617.86, 18,794.70 and 8,315.74

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Solution

The fourth proportional to 13,617.86, 18,794.70 and 8,315.74 is: 11,476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,617.86 : 18,794.70 = 8,315.74 : x
  2. Step 2: Convert to fraction form
    13,617.86/18,794.70 = 8,315.74/x
  3. Step 3: Cross multiply
    13,617.86x = 18,794.70 × 8,315.74
  4. Step 4: Simplify right side
    13,617.86x = 156,291,703.03
  5. Step 5: Solve for x
    x = 156,291,703.03/13,617.86
  6. Step 6: Final answer
    x = 11,476.97

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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.