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Finding the Fourth Proportional to 27,202.50, 40,805.64 and 11,391.57

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Solution

The fourth proportional to 27,202.50, 40,805.64 and 11,391.57 is: 17,088.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,202.50 : 40,805.64 = 11,391.57 : x
  2. Step 2: Convert to fraction form
    27,202.50/40,805.64 = 11,391.57/x
  3. Step 3: Cross multiply
    27,202.50x = 40,805.64 × 11,391.57
  4. Step 4: Simplify right side
    27,202.50x = 464,840,304.45
  5. Step 5: Solve for x
    x = 464,840,304.45/27,202.50
  6. Step 6: Final answer
    x = 17,088.15

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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.