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Finding the Fourth Proportional to 12,417, 18,633.71 and 5,845.07

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Solution

The fourth proportional to 12,417, 18,633.71 and 5,845.07 is: 8,771.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417 : 18,633.71 = 5,845.07 : x
  2. Step 2: Convert to fraction form
    12,417/18,633.71 = 5,845.07/x
  3. Step 3: Cross multiply
    12,417x = 18,633.71 × 5,845.07
  4. Step 4: Simplify right side
    12,417x = 108,915,246.14
  5. Step 5: Solve for x
    x = 108,915,246.14/12,417
  6. Step 6: Final answer
    x = 8,771.46

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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.