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Finding the Fourth Proportional to 13,775.68, 20,635.84 and 6,369.76

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Solution

The fourth proportional to 13,775.68, 20,635.84 and 6,369.76 is: 9,541.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.68 : 20,635.84 = 6,369.76 : x
  2. Step 2: Convert to fraction form
    13,775.68/20,635.84 = 6,369.76/x
  3. Step 3: Cross multiply
    13,775.68x = 20,635.84 × 6,369.76
  4. Step 4: Simplify right side
    13,775.68x = 131,445,348.20
  5. Step 5: Solve for x
    x = 131,445,348.20/13,775.68
  6. Step 6: Final answer
    x = 9,541.84

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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.