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Finding the Fourth Proportional to 29,214.40, 43,790 and 11,664.94

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Solution

The fourth proportional to 29,214.40, 43,790 and 11,664.94 is: 17,484.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,214.40 : 43,790 = 11,664.94 : x
  2. Step 2: Convert to fraction form
    29,214.40/43,790 = 11,664.94/x
  3. Step 3: Cross multiply
    29,214.40x = 43,790 × 11,664.94
  4. Step 4: Simplify right side
    29,214.40x = 510,807,722.60
  5. Step 5: Solve for x
    x = 510,807,722.60/29,214.40
  6. Step 6: Final answer
    x = 17,484.79

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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.