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Finding the Fourth Proportional to 12,293.22, 18,443.85 and 10,096.20

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Solution

The fourth proportional to 12,293.22, 18,443.85 and 10,096.20 is: 15,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,293.22 : 18,443.85 = 10,096.20 : x
  2. Step 2: Convert to fraction form
    12,293.22/18,443.85 = 10,096.20/x
  3. Step 3: Cross multiply
    12,293.22x = 18,443.85 × 10,096.20
  4. Step 4: Simplify right side
    12,293.22x = 186,212,798.37
  5. Step 5: Solve for x
    x = 186,212,798.37/12,293.22
  6. Step 6: Final answer
    x = 15,147.60

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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.