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Finding the Fourth Proportional to 10,705.20, 16,096.20 and 9,015.60

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Solution

The fourth proportional to 10,705.20, 16,096.20 and 9,015.60 is: 13,555.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.20 : 16,096.20 = 9,015.60 : x
  2. Step 2: Convert to fraction form
    10,705.20/16,096.20 = 9,015.60/x
  3. Step 3: Cross multiply
    10,705.20x = 16,096.20 × 9,015.60
  4. Step 4: Simplify right side
    10,705.20x = 145,116,900.72
  5. Step 5: Solve for x
    x = 145,116,900.72/10,705.20
  6. Step 6: Final answer
    x = 13,555.74

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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.