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Finding the Fourth Proportional to 13,801.34, 20,705.06 and 5,036.22

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Solution

The fourth proportional to 13,801.34, 20,705.06 and 5,036.22 is: 7,555.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.34 : 20,705.06 = 5,036.22 : x
  2. Step 2: Convert to fraction form
    13,801.34/20,705.06 = 5,036.22/x
  3. Step 3: Cross multiply
    13,801.34x = 20,705.06 × 5,036.22
  4. Step 4: Simplify right side
    13,801.34x = 104,275,249.86
  5. Step 5: Solve for x
    x = 104,275,249.86/13,801.34
  6. Step 6: Final answer
    x = 7,555.44

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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.