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Finding the Fourth Proportional to 27,202.84, 40,811.14 and 13,169.59

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Solution

The fourth proportional to 27,202.84, 40,811.14 and 13,169.59 is: 19,757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,202.84 : 40,811.14 = 13,169.59 : x
  2. Step 2: Convert to fraction form
    27,202.84/40,811.14 = 13,169.59/x
  3. Step 3: Cross multiply
    27,202.84x = 40,811.14 × 13,169.59
  4. Step 4: Simplify right side
    27,202.84x = 537,465,895.67
  5. Step 5: Solve for x
    x = 537,465,895.67/27,202.84
  6. Step 6: Final answer
    x = 19,757.71

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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.