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Finding the Fourth Proportional to 15,954.14, 22,015.85 and 8,782.66

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Solution

The fourth proportional to 15,954.14, 22,015.85 and 8,782.66 is: 12,119.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,954.14 : 22,015.85 = 8,782.66 : x
  2. Step 2: Convert to fraction form
    15,954.14/22,015.85 = 8,782.66/x
  3. Step 3: Cross multiply
    15,954.14x = 22,015.85 × 8,782.66
  4. Step 4: Simplify right side
    15,954.14x = 193,357,725.16
  5. Step 5: Solve for x
    x = 193,357,725.16/15,954.14
  6. Step 6: Final answer
    x = 12,119.60

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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.