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Finding the Fourth Proportional to 13,807.40, 20,699.15 and 6,408.05

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Solution

The fourth proportional to 13,807.40, 20,699.15 and 6,408.05 is: 9,606.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.40 : 20,699.15 = 6,408.05 : x
  2. Step 2: Convert to fraction form
    13,807.40/20,699.15 = 6,408.05/x
  3. Step 3: Cross multiply
    13,807.40x = 20,699.15 × 6,408.05
  4. Step 4: Simplify right side
    13,807.40x = 132,641,052.62
  5. Step 5: Solve for x
    x = 132,641,052.62/13,807.40
  6. Step 6: Final answer
    x = 9,606.52

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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.