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Finding the Fourth Proportional to 15,809.85, 21,816.74 and 8,735.82

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Solution

The fourth proportional to 15,809.85, 21,816.74 and 8,735.82 is: 12,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,809.85 : 21,816.74 = 8,735.82 : x
  2. Step 2: Convert to fraction form
    15,809.85/21,816.74 = 8,735.82/x
  3. Step 3: Cross multiply
    15,809.85x = 21,816.74 × 8,735.82
  4. Step 4: Simplify right side
    15,809.85x = 190,587,069.95
  5. Step 5: Solve for x
    x = 190,587,069.95/15,809.85
  6. Step 6: Final answer
    x = 12,054.96

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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.