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Finding the Fourth Proportional to 29,213.82, 43,830.93 and 9,226.41

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Solution

The fourth proportional to 29,213.82, 43,830.93 and 9,226.41 is: 13,842.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,213.82 : 43,830.93 = 9,226.41 : x
  2. Step 2: Convert to fraction form
    29,213.82/43,830.93 = 9,226.41/x
  3. Step 3: Cross multiply
    29,213.82x = 43,830.93 × 9,226.41
  4. Step 4: Simplify right side
    29,213.82x = 404,402,130.86
  5. Step 5: Solve for x
    x = 404,402,130.86/29,213.82
  6. Step 6: Final answer
    x = 13,842.84

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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.