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Finding the Fourth Proportional to 13,718.47, 20,576.68 and 4,953.39

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Solution

The fourth proportional to 13,718.47, 20,576.68 and 4,953.39 is: 7,429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.47 : 20,576.68 = 4,953.39 : x
  2. Step 2: Convert to fraction form
    13,718.47/20,576.68 = 4,953.39/x
  3. Step 3: Cross multiply
    13,718.47x = 20,576.68 × 4,953.39
  4. Step 4: Simplify right side
    13,718.47x = 101,924,375.01
  5. Step 5: Solve for x
    x = 101,924,375.01/13,718.47
  6. Step 6: Final answer
    x = 7,429.72

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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.