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Finding the Fourth Proportional to 16,724.80, 23,095.82 and 10,766.80

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Solution

The fourth proportional to 16,724.80, 23,095.82 and 10,766.80 is: 14,868.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,724.80 : 23,095.82 = 10,766.80 : x
  2. Step 2: Convert to fraction form
    16,724.80/23,095.82 = 10,766.80/x
  3. Step 3: Cross multiply
    16,724.80x = 23,095.82 × 10,766.80
  4. Step 4: Simplify right side
    16,724.80x = 248,668,074.78
  5. Step 5: Solve for x
    x = 248,668,074.78/16,724.80
  6. Step 6: Final answer
    x = 14,868.22

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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.