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Finding the Fourth Proportional to 13,576.96, 20,359.11 and 5,145.06

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Solution

The fourth proportional to 13,576.96, 20,359.11 and 5,145.06 is: 7,715.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,576.96 : 20,359.11 = 5,145.06 : x
  2. Step 2: Convert to fraction form
    13,576.96/20,359.11 = 5,145.06/x
  3. Step 3: Cross multiply
    13,576.96x = 20,359.11 × 5,145.06
  4. Step 4: Simplify right side
    13,576.96x = 104,748,842.50
  5. Step 5: Solve for x
    x = 104,748,842.50/13,576.96
  6. Step 6: Final answer
    x = 7,715.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.