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Finding the Fourth Proportional to 13,619.98, 18,794.11 and 8,312.86

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Solution

The fourth proportional to 13,619.98, 18,794.11 and 8,312.86 is: 11,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,619.98 : 18,794.11 = 8,312.86 : x
  2. Step 2: Convert to fraction form
    13,619.98/18,794.11 = 8,312.86/x
  3. Step 3: Cross multiply
    13,619.98x = 18,794.11 × 8,312.86
  4. Step 4: Simplify right side
    13,619.98x = 156,232,669.72
  5. Step 5: Solve for x
    x = 156,232,669.72/13,619.98
  6. Step 6: Final answer
    x = 11,470.85

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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.