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Finding the Fourth Proportional to 13,597.60, 20,410.98 and 7,022.02

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Solution

The fourth proportional to 13,597.60, 20,410.98 and 7,022.02 is: 10,540.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.60 : 20,410.98 = 7,022.02 : x
  2. Step 2: Convert to fraction form
    13,597.60/20,410.98 = 7,022.02/x
  3. Step 3: Cross multiply
    13,597.60x = 20,410.98 × 7,022.02
  4. Step 4: Simplify right side
    13,597.60x = 143,326,309.78
  5. Step 5: Solve for x
    x = 143,326,309.78/13,597.60
  6. Step 6: Final answer
    x = 10,540.56

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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.