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Finding the Fourth Proportional to 10,015.20, 15,022.80 and 9,588.60

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Solution

The fourth proportional to 10,015.20, 15,022.80 and 9,588.60 is: 14,382.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015.20 : 15,022.80 = 9,588.60 : x
  2. Step 2: Convert to fraction form
    10,015.20/15,022.80 = 9,588.60/x
  3. Step 3: Cross multiply
    10,015.20x = 15,022.80 × 9,588.60
  4. Step 4: Simplify right side
    10,015.20x = 144,047,620.08
  5. Step 5: Solve for x
    x = 144,047,620.08/10,015.20
  6. Step 6: Final answer
    x = 14,382.90

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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.