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Finding the Fourth Proportional to 13,504.61, 20,250.63 and 4,142.22

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Solution

The fourth proportional to 13,504.61, 20,250.63 and 4,142.22 is: 6,211.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.61 : 20,250.63 = 4,142.22 : x
  2. Step 2: Convert to fraction form
    13,504.61/20,250.63 = 4,142.22/x
  3. Step 3: Cross multiply
    13,504.61x = 20,250.63 × 4,142.22
  4. Step 4: Simplify right side
    13,504.61x = 83,882,564.60
  5. Step 5: Solve for x
    x = 83,882,564.60/13,504.61
  6. Step 6: Final answer
    x = 6,211.40

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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.