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Finding the Fourth Proportional to 19,641.49, 29,451.06 and 13,409.01

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Solution

The fourth proportional to 19,641.49, 29,451.06 and 13,409.01 is: 20,105.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,641.49 : 29,451.06 = 13,409.01 : x
  2. Step 2: Convert to fraction form
    19,641.49/29,451.06 = 13,409.01/x
  3. Step 3: Cross multiply
    19,641.49x = 29,451.06 × 13,409.01
  4. Step 4: Simplify right side
    19,641.49x = 394,909,558.05
  5. Step 5: Solve for x
    x = 394,909,558.05/19,641.49
  6. Step 6: Final answer
    x = 20,105.89

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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.