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Finding the Fourth Proportional to 13,597.68, 20,394.08 and 3,735.66

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Solution

The fourth proportional to 13,597.68, 20,394.08 and 3,735.66 is: 5,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.68 : 20,394.08 = 3,735.66 : x
  2. Step 2: Convert to fraction form
    13,597.68/20,394.08 = 3,735.66/x
  3. Step 3: Cross multiply
    13,597.68x = 20,394.08 × 3,735.66
  4. Step 4: Simplify right side
    13,597.68x = 76,185,348.89
  5. Step 5: Solve for x
    x = 76,185,348.89/13,597.68
  6. Step 6: Final answer
    x = 5,602.82

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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.