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Finding the Fourth Proportional to 13,602.08, 20,385.84 and 7,438.88

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Solution

The fourth proportional to 13,602.08, 20,385.84 and 7,438.88 is: 11,148.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.08 : 20,385.84 = 7,438.88 : x
  2. Step 2: Convert to fraction form
    13,602.08/20,385.84 = 7,438.88/x
  3. Step 3: Cross multiply
    13,602.08x = 20,385.84 × 7,438.88
  4. Step 4: Simplify right side
    13,602.08x = 151,647,817.46
  5. Step 5: Solve for x
    x = 151,647,817.46/13,602.08
  6. Step 6: Final answer
    x = 11,148.87

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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.