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Finding the Fourth Proportional to 13,384.26, 20,077.46 and 4,150.26

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Solution

The fourth proportional to 13,384.26, 20,077.46 and 4,150.26 is: 6,225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.26 : 20,077.46 = 4,150.26 : x
  2. Step 2: Convert to fraction form
    13,384.26/20,077.46 = 4,150.26/x
  3. Step 3: Cross multiply
    13,384.26x = 20,077.46 × 4,150.26
  4. Step 4: Simplify right side
    13,384.26x = 83,326,679.14
  5. Step 5: Solve for x
    x = 83,326,679.14/13,384.26
  6. Step 6: Final answer
    x = 6,225.72

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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.