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Finding the Fourth Proportional to 12,292, 18,435.26 and 5,966.68

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Solution

The fourth proportional to 12,292, 18,435.26 and 5,966.68 is: 8,948.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292 : 18,435.26 = 5,966.68 : x
  2. Step 2: Convert to fraction form
    12,292/18,435.26 = 5,966.68/x
  3. Step 3: Cross multiply
    12,292x = 18,435.26 × 5,966.68
  4. Step 4: Simplify right side
    12,292x = 109,997,297.14
  5. Step 5: Solve for x
    x = 109,997,297.14/12,292
  6. Step 6: Final answer
    x = 8,948.69

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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.