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Finding the Fourth Proportional to 13,807.98, 20,713.32 and 5,486.14

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Solution

The fourth proportional to 13,807.98, 20,713.32 and 5,486.14 is: 8,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.98 : 20,713.32 = 5,486.14 : x
  2. Step 2: Convert to fraction form
    13,807.98/20,713.32 = 5,486.14/x
  3. Step 3: Cross multiply
    13,807.98x = 20,713.32 × 5,486.14
  4. Step 4: Simplify right side
    13,807.98x = 113,636,228.40
  5. Step 5: Solve for x
    x = 113,636,228.40/13,807.98
  6. Step 6: Final answer
    x = 8,229.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.