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Finding the Fourth Proportional to 14,562.87, 20,096.17 and 8,189.28

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Solution

The fourth proportional to 14,562.87, 20,096.17 and 8,189.28 is: 11,300.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.87 : 20,096.17 = 8,189.28 : x
  2. Step 2: Convert to fraction form
    14,562.87/20,096.17 = 8,189.28/x
  3. Step 3: Cross multiply
    14,562.87x = 20,096.17 × 8,189.28
  4. Step 4: Simplify right side
    14,562.87x = 164,573,122.11
  5. Step 5: Solve for x
    x = 164,573,122.11/14,562.87
  6. Step 6: Final answer
    x = 11,300.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.