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Finding the Fourth Proportional to 15,340.34, 23,014.22 and 5,343.63

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Solution

The fourth proportional to 15,340.34, 23,014.22 and 5,343.63 is: 8,016.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,340.34 : 23,014.22 = 5,343.63 : x
  2. Step 2: Convert to fraction form
    15,340.34/23,014.22 = 5,343.63/x
  3. Step 3: Cross multiply
    15,340.34x = 23,014.22 × 5,343.63
  4. Step 4: Simplify right side
    15,340.34x = 122,979,449.70
  5. Step 5: Solve for x
    x = 122,979,449.70/15,340.34
  6. Step 6: Final answer
    x = 8,016.73

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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.