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Finding the Fourth Proportional to 13,003.75, 19,502.36 and 3,641.34

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Solution

The fourth proportional to 13,003.75, 19,502.36 and 3,641.34 is: 5,461.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.75 : 19,502.36 = 3,641.34 : x
  2. Step 2: Convert to fraction form
    13,003.75/19,502.36 = 3,641.34/x
  3. Step 3: Cross multiply
    13,003.75x = 19,502.36 × 3,641.34
  4. Step 4: Simplify right side
    13,003.75x = 71,014,723.56
  5. Step 5: Solve for x
    x = 71,014,723.56/13,003.75
  6. Step 6: Final answer
    x = 5,461.10

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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.