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Finding the Fourth Proportional to 13,153.76, 19,720.20 and 6,576.56

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Solution

The fourth proportional to 13,153.76, 19,720.20 and 6,576.56 is: 9,859.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.76 : 19,720.20 = 6,576.56 : x
  2. Step 2: Convert to fraction form
    13,153.76/19,720.20 = 6,576.56/x
  3. Step 3: Cross multiply
    13,153.76x = 19,720.20 × 6,576.56
  4. Step 4: Simplify right side
    13,153.76x = 129,691,078.51
  5. Step 5: Solve for x
    x = 129,691,078.51/13,153.76
  6. Step 6: Final answer
    x = 9,859.62

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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.