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Finding the Fourth Proportional to 13,641.88, 20,462.82 and 4,282.60

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Solution

The fourth proportional to 13,641.88, 20,462.82 and 4,282.60 is: 6,423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.88 : 20,462.82 = 4,282.60 : x
  2. Step 2: Convert to fraction form
    13,641.88/20,462.82 = 4,282.60/x
  3. Step 3: Cross multiply
    13,641.88x = 20,462.82 × 4,282.60
  4. Step 4: Simplify right side
    13,641.88x = 87,634,072.93
  5. Step 5: Solve for x
    x = 87,634,072.93/13,641.88
  6. Step 6: Final answer
    x = 6,423.90

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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.