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Finding the Fourth Proportional to 29,327.14, 43,990.71 and 9,605.80

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Solution

The fourth proportional to 29,327.14, 43,990.71 and 9,605.80 is: 14,408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,327.14 : 43,990.71 = 9,605.80 : x
  2. Step 2: Convert to fraction form
    29,327.14/43,990.71 = 9,605.80/x
  3. Step 3: Cross multiply
    29,327.14x = 43,990.71 × 9,605.80
  4. Step 4: Simplify right side
    29,327.14x = 422,565,962.12
  5. Step 5: Solve for x
    x = 422,565,962.12/29,327.14
  6. Step 6: Final answer
    x = 14,408.70

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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.