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Finding the Fourth Proportional to 13,109.25, 19,667.12 and 3,875.25

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Solution

The fourth proportional to 13,109.25, 19,667.12 and 3,875.25 is: 5,813.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,109.25 : 19,667.12 = 3,875.25 : x
  2. Step 2: Convert to fraction form
    13,109.25/19,667.12 = 3,875.25/x
  3. Step 3: Cross multiply
    13,109.25x = 19,667.12 × 3,875.25
  4. Step 4: Simplify right side
    13,109.25x = 76,214,987.40
  5. Step 5: Solve for x
    x = 76,214,987.40/13,109.25
  6. Step 6: Final answer
    x = 5,813.83

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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.