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Finding the Fourth Proportional to 15,730.68, 23,596.20 and 5,343.24

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Solution

The fourth proportional to 15,730.68, 23,596.20 and 5,343.24 is: 8,014.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730.68 : 23,596.20 = 5,343.24 : x
  2. Step 2: Convert to fraction form
    15,730.68/23,596.20 = 5,343.24/x
  3. Step 3: Cross multiply
    15,730.68x = 23,596.20 × 5,343.24
  4. Step 4: Simplify right side
    15,730.68x = 126,080,159.69
  5. Step 5: Solve for x
    x = 126,080,159.69/15,730.68
  6. Step 6: Final answer
    x = 8,014.92

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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.