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Finding the Fourth Proportional to 15,758.82, 23,621.22 and 6,981.66

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Solution

The fourth proportional to 15,758.82, 23,621.22 and 6,981.66 is: 10,464.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758.82 : 23,621.22 = 6,981.66 : x
  2. Step 2: Convert to fraction form
    15,758.82/23,621.22 = 6,981.66/x
  3. Step 3: Cross multiply
    15,758.82x = 23,621.22 × 6,981.66
  4. Step 4: Simplify right side
    15,758.82x = 164,915,326.83
  5. Step 5: Solve for x
    x = 164,915,326.83/15,758.82
  6. Step 6: Final answer
    x = 10,464.95

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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.