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Finding the Fourth Proportional to 15,710.45, 21,680.34 and 8,540.42

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Solution

The fourth proportional to 15,710.45, 21,680.34 and 8,540.42 is: 11,785.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,710.45 : 21,680.34 = 8,540.42 : x
  2. Step 2: Convert to fraction form
    15,710.45/21,680.34 = 8,540.42/x
  3. Step 3: Cross multiply
    15,710.45x = 21,680.34 × 8,540.42
  4. Step 4: Simplify right side
    15,710.45x = 185,159,100.94
  5. Step 5: Solve for x
    x = 185,159,100.94/15,710.45
  6. Step 6: Final answer
    x = 11,785.73

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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.