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Finding the Fourth Proportional to 14,713.86, 20,305.53 and 7,999.94

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Solution

The fourth proportional to 14,713.86, 20,305.53 and 7,999.94 is: 11,040.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,713.86 : 20,305.53 = 7,999.94 : x
  2. Step 2: Convert to fraction form
    14,713.86/20,305.53 = 7,999.94/x
  3. Step 3: Cross multiply
    14,713.86x = 20,305.53 × 7,999.94
  4. Step 4: Simplify right side
    14,713.86x = 162,443,072.43
  5. Step 5: Solve for x
    x = 162,443,072.43/14,713.86
  6. Step 6: Final answer
    x = 11,040.14

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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.