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Finding the Fourth Proportional to 13,383.82, 20,077.10 and 4,616.68

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Solution

The fourth proportional to 13,383.82, 20,077.10 and 4,616.68 is: 6,925.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.82 : 20,077.10 = 4,616.68 : x
  2. Step 2: Convert to fraction form
    13,383.82/20,077.10 = 4,616.68/x
  3. Step 3: Cross multiply
    13,383.82x = 20,077.10 × 4,616.68
  4. Step 4: Simplify right side
    13,383.82x = 92,689,527.71
  5. Step 5: Solve for x
    x = 92,689,527.71/13,383.82
  6. Step 6: Final answer
    x = 6,925.49

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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.