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Finding the Fourth Proportional to 12,293.67, 18,434.01 and 5,364.39

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Solution

The fourth proportional to 12,293.67, 18,434.01 and 5,364.39 is: 8,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,293.67 : 18,434.01 = 5,364.39 : x
  2. Step 2: Convert to fraction form
    12,293.67/18,434.01 = 5,364.39/x
  3. Step 3: Cross multiply
    12,293.67x = 18,434.01 × 5,364.39
  4. Step 4: Simplify right side
    12,293.67x = 98,887,218.90
  5. Step 5: Solve for x
    x = 98,887,218.90/12,293.67
  6. Step 6: Final answer
    x = 8,043.75

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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.