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Finding the Fourth Proportional to 13,625.40, 20,423.70 and 5,302.20

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Solution

The fourth proportional to 13,625.40, 20,423.70 and 5,302.20 is: 7,947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,625.40 : 20,423.70 = 5,302.20 : x
  2. Step 2: Convert to fraction form
    13,625.40/20,423.70 = 5,302.20/x
  3. Step 3: Cross multiply
    13,625.40x = 20,423.70 × 5,302.20
  4. Step 4: Simplify right side
    13,625.40x = 108,290,542.14
  5. Step 5: Solve for x
    x = 108,290,542.14/13,625.40
  6. Step 6: Final answer
    x = 7,947.70

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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.