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Finding the Fourth Proportional to 13,451.40, 20,164.30 and 10,488.20

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Solution

The fourth proportional to 13,451.40, 20,164.30 and 10,488.20 is: 15,722.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,451.40 : 20,164.30 = 10,488.20 : x
  2. Step 2: Convert to fraction form
    13,451.40/20,164.30 = 10,488.20/x
  3. Step 3: Cross multiply
    13,451.40x = 20,164.30 × 10,488.20
  4. Step 4: Simplify right side
    13,451.40x = 211,487,211.26
  5. Step 5: Solve for x
    x = 211,487,211.26/13,451.40
  6. Step 6: Final answer
    x = 15,722.32

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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.