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Finding the Fourth Proportional to 12,293.81, 18,431.26 and 6,364.34

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Solution

The fourth proportional to 12,293.81, 18,431.26 and 6,364.34 is: 9,541.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,293.81 : 18,431.26 = 6,364.34 : x
  2. Step 2: Convert to fraction form
    12,293.81/18,431.26 = 6,364.34/x
  3. Step 3: Cross multiply
    12,293.81x = 18,431.26 × 6,364.34
  4. Step 4: Simplify right side
    12,293.81x = 117,302,697.20
  5. Step 5: Solve for x
    x = 117,302,697.20/12,293.81
  6. Step 6: Final answer
    x = 9,541.61

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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.