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Finding the Fourth Proportional to 13,121.66, 19,677.38 and 4,354.22

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Solution

The fourth proportional to 13,121.66, 19,677.38 and 4,354.22 is: 6,529.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,121.66 : 19,677.38 = 4,354.22 : x
  2. Step 2: Convert to fraction form
    13,121.66/19,677.38 = 4,354.22/x
  3. Step 3: Cross multiply
    13,121.66x = 19,677.38 × 4,354.22
  4. Step 4: Simplify right side
    13,121.66x = 85,679,641.54
  5. Step 5: Solve for x
    x = 85,679,641.54/13,121.66
  6. Step 6: Final answer
    x = 6,529.63

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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.