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Finding the Fourth Proportional to 13,642.78, 20,462.77 and 4,282.87

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Solution

The fourth proportional to 13,642.78, 20,462.77 and 4,282.87 is: 6,423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.78 : 20,462.77 = 4,282.87 : x
  2. Step 2: Convert to fraction form
    13,642.78/20,462.77 = 4,282.87/x
  3. Step 3: Cross multiply
    13,642.78x = 20,462.77 × 4,282.87
  4. Step 4: Simplify right side
    13,642.78x = 87,639,383.75
  5. Step 5: Solve for x
    x = 87,639,383.75/13,642.78
  6. Step 6: Final answer
    x = 6,423.87

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