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Finding the Fourth Proportional to 13,443.40, 20,165.10 and 5,657.80

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Solution

The fourth proportional to 13,443.40, 20,165.10 and 5,657.80 is: 8,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.40 : 20,165.10 = 5,657.80 : x
  2. Step 2: Convert to fraction form
    13,443.40/20,165.10 = 5,657.80/x
  3. Step 3: Cross multiply
    13,443.40x = 20,165.10 × 5,657.80
  4. Step 4: Simplify right side
    13,443.40x = 114,090,102.78
  5. Step 5: Solve for x
    x = 114,090,102.78/13,443.40
  6. Step 6: Final answer
    x = 8,486.70

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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.