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Finding the Fourth Proportional to 29,272.68, 43,907.49 and 8,214.18

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Solution

The fourth proportional to 29,272.68, 43,907.49 and 8,214.18 is: 12,320.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,272.68 : 43,907.49 = 8,214.18 : x
  2. Step 2: Convert to fraction form
    29,272.68/43,907.49 = 8,214.18/x
  3. Step 3: Cross multiply
    29,272.68x = 43,907.49 × 8,214.18
  4. Step 4: Simplify right side
    29,272.68x = 360,664,026.21
  5. Step 5: Solve for x
    x = 360,664,026.21/29,272.68
  6. Step 6: Final answer
    x = 12,320.84

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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.