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Finding the Fourth Proportional to 15,965.25, 22,032 and 8,891.67

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Solution

The fourth proportional to 15,965.25, 22,032 and 8,891.67 is: 12,270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,965.25 : 22,032 = 8,891.67 : x
  2. Step 2: Convert to fraction form
    15,965.25/22,032 = 8,891.67/x
  3. Step 3: Cross multiply
    15,965.25x = 22,032 × 8,891.67
  4. Step 4: Simplify right side
    15,965.25x = 195,901,356.06
  5. Step 5: Solve for x
    x = 195,901,356.06/15,965.25
  6. Step 6: Final answer
    x = 12,270.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.