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Finding the Fourth Proportional to 13,340.90, 19,994.04 and 5,434.22

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Solution

The fourth proportional to 13,340.90, 19,994.04 and 5,434.22 is: 8,144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,340.90 : 19,994.04 = 5,434.22 : x
  2. Step 2: Convert to fraction form
    13,340.90/19,994.04 = 5,434.22/x
  3. Step 3: Cross multiply
    13,340.90x = 19,994.04 × 5,434.22
  4. Step 4: Simplify right side
    13,340.90x = 108,652,012.05
  5. Step 5: Solve for x
    x = 108,652,012.05/13,340.90
  6. Step 6: Final answer
    x = 8,144.28

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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.