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Finding the Fourth Proportional to 13,464.60, 20,184.48 and 7,228.98

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Solution

The fourth proportional to 13,464.60, 20,184.48 and 7,228.98 is: 10,836.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.60 : 20,184.48 = 7,228.98 : x
  2. Step 2: Convert to fraction form
    13,464.60/20,184.48 = 7,228.98/x
  3. Step 3: Cross multiply
    13,464.60x = 20,184.48 × 7,228.98
  4. Step 4: Simplify right side
    13,464.60x = 145,913,202.23
  5. Step 5: Solve for x
    x = 145,913,202.23/13,464.60
  6. Step 6: Final answer
    x = 10,836.80

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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.