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Finding the Fourth Proportional to 13,541.90, 20,308.73 and 5,221.26

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Solution

The fourth proportional to 13,541.90, 20,308.73 and 5,221.26 is: 7,830.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,541.90 : 20,308.73 = 5,221.26 : x
  2. Step 2: Convert to fraction form
    13,541.90/20,308.73 = 5,221.26/x
  3. Step 3: Cross multiply
    13,541.90x = 20,308.73 × 5,221.26
  4. Step 4: Simplify right side
    13,541.90x = 106,037,133.49
  5. Step 5: Solve for x
    x = 106,037,133.49/13,541.90
  6. Step 6: Final answer
    x = 7,830.30

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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.