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Finding the Fourth Proportional to 27,667.50, 41,500.86 and 12,868.14

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Solution

The fourth proportional to 27,667.50, 41,500.86 and 12,868.14 is: 19,302.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,667.50 : 41,500.86 = 12,868.14 : x
  2. Step 2: Convert to fraction form
    27,667.50/41,500.86 = 12,868.14/x
  3. Step 3: Cross multiply
    27,667.50x = 41,500.86 × 12,868.14
  4. Step 4: Simplify right side
    27,667.50x = 534,038,876.60
  5. Step 5: Solve for x
    x = 534,038,876.60/27,667.50
  6. Step 6: Final answer
    x = 19,302.03

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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.