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Finding the Fourth Proportional to 13,022.67, 19,528.17 and 7,760.16

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Solution

The fourth proportional to 13,022.67, 19,528.17 and 7,760.16 is: 11,636.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.67 : 19,528.17 = 7,760.16 : x
  2. Step 2: Convert to fraction form
    13,022.67/19,528.17 = 7,760.16/x
  3. Step 3: Cross multiply
    13,022.67x = 19,528.17 × 7,760.16
  4. Step 4: Simplify right side
    13,022.67x = 151,541,723.71
  5. Step 5: Solve for x
    x = 151,541,723.71/13,022.67
  6. Step 6: Final answer
    x = 11,636.76

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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.