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Finding the Fourth Proportional to 13,389.17, 20,096.10 and 6,820.25

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Solution

The fourth proportional to 13,389.17, 20,096.10 and 6,820.25 is: 10,236.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,389.17 : 20,096.10 = 6,820.25 : x
  2. Step 2: Convert to fraction form
    13,389.17/20,096.10 = 6,820.25/x
  3. Step 3: Cross multiply
    13,389.17x = 20,096.10 × 6,820.25
  4. Step 4: Simplify right side
    13,389.17x = 137,060,325.54
  5. Step 5: Solve for x
    x = 137,060,325.54/13,389.17
  6. Step 6: Final answer
    x = 10,236.66

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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.