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Finding the Fourth Proportional to 19,667.76, 29,486.22 and 13,412.22

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Solution

The fourth proportional to 19,667.76, 29,486.22 and 13,412.22 is: 20,107.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,667.76 : 29,486.22 = 13,412.22 : x
  2. Step 2: Convert to fraction form
    19,667.76/29,486.22 = 13,412.22/x
  3. Step 3: Cross multiply
    19,667.76x = 29,486.22 × 13,412.22
  4. Step 4: Simplify right side
    19,667.76x = 395,475,669.61
  5. Step 5: Solve for x
    x = 395,475,669.61/19,667.76
  6. Step 6: Final answer
    x = 20,107.81

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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.