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Finding the Fourth Proportional to 15,296.34, 22,942.05 and 4,200.46

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Solution

The fourth proportional to 15,296.34, 22,942.05 and 4,200.46 is: 6,300.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,296.34 : 22,942.05 = 4,200.46 : x
  2. Step 2: Convert to fraction form
    15,296.34/22,942.05 = 4,200.46/x
  3. Step 3: Cross multiply
    15,296.34x = 22,942.05 × 4,200.46
  4. Step 4: Simplify right side
    15,296.34x = 96,367,163.34
  5. Step 5: Solve for x
    x = 96,367,163.34/15,296.34
  6. Step 6: Final answer
    x = 6,300.01

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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.