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Finding the Fourth Proportional to 13,719.76, 20,579.23 and 5,393.77

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Solution

The fourth proportional to 13,719.76, 20,579.23 and 5,393.77 is: 8,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,719.76 : 20,579.23 = 5,393.77 : x
  2. Step 2: Convert to fraction form
    13,719.76/20,579.23 = 5,393.77/x
  3. Step 3: Cross multiply
    13,719.76x = 20,579.23 × 5,393.77
  4. Step 4: Simplify right side
    13,719.76x = 110,999,633.40
  5. Step 5: Solve for x
    x = 110,999,633.40/13,719.76
  6. Step 6: Final answer
    x = 8,090.49

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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.