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Finding the Fourth Proportional to 19,667.97, 29,469.14 and 13,814.10

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Solution

The fourth proportional to 19,667.97, 29,469.14 and 13,814.10 is: 20,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,667.97 : 29,469.14 = 13,814.10 : x
  2. Step 2: Convert to fraction form
    19,667.97/29,469.14 = 13,814.10/x
  3. Step 3: Cross multiply
    19,667.97x = 29,469.14 × 13,814.10
  4. Step 4: Simplify right side
    19,667.97x = 407,089,681.41
  5. Step 5: Solve for x
    x = 407,089,681.41/19,667.97
  6. Step 6: Final answer
    x = 20,698.10

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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.