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Finding the Fourth Proportional to 13,396.96, 20,092.81 and 9,854.02

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Solution

The fourth proportional to 13,396.96, 20,092.81 and 9,854.02 is: 14,779.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,396.96 : 20,092.81 = 9,854.02 : x
  2. Step 2: Convert to fraction form
    13,396.96/20,092.81 = 9,854.02/x
  3. Step 3: Cross multiply
    13,396.96x = 20,092.81 × 9,854.02
  4. Step 4: Simplify right side
    13,396.96x = 197,994,951.60
  5. Step 5: Solve for x
    x = 197,994,951.60/13,396.96
  6. Step 6: Final answer
    x = 14,779.10

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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.