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Finding the Fourth Proportional to 24,214.34, 36,327.38 and 8,417.09

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Solution

The fourth proportional to 24,214.34, 36,327.38 and 8,417.09 is: 12,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,214.34 : 36,327.38 = 8,417.09 : x
  2. Step 2: Convert to fraction form
    24,214.34/36,327.38 = 8,417.09/x
  3. Step 3: Cross multiply
    24,214.34x = 36,327.38 × 8,417.09
  4. Step 4: Simplify right side
    24,214.34x = 305,770,875.66
  5. Step 5: Solve for x
    x = 305,770,875.66/24,214.34
  6. Step 6: Final answer
    x = 12,627.68

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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.