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Finding the Fourth Proportional to 26,202, 39,327.36 and 12,169.56

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Solution

The fourth proportional to 26,202, 39,327.36 and 12,169.56 is: 18,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,202 : 39,327.36 = 12,169.56 : x
  2. Step 2: Convert to fraction form
    26,202/39,327.36 = 12,169.56/x
  3. Step 3: Cross multiply
    26,202x = 39,327.36 × 12,169.56
  4. Step 4: Simplify right side
    26,202x = 478,596,667.16
  5. Step 5: Solve for x
    x = 478,596,667.16/26,202
  6. Step 6: Final answer
    x = 18,265.65

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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.