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Finding the Fourth Proportional to 13,691.79, 20,544 and 5,374.01

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Solution

The fourth proportional to 13,691.79, 20,544 and 5,374.01 is: 8,063.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.79 : 20,544 = 5,374.01 : x
  2. Step 2: Convert to fraction form
    13,691.79/20,544 = 5,374.01/x
  3. Step 3: Cross multiply
    13,691.79x = 20,544 × 5,374.01
  4. Step 4: Simplify right side
    13,691.79x = 110,403,558.72
  5. Step 5: Solve for x
    x = 110,403,558.72/13,691.79
  6. Step 6: Final answer
    x = 8,063.49

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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.