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Finding the Fourth Proportional to 21,331.44, 29,428.74 and 14,164.83

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Solution

The fourth proportional to 21,331.44, 29,428.74 and 14,164.83 is: 19,541.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,331.44 : 29,428.74 = 14,164.83 : x
  2. Step 2: Convert to fraction form
    21,331.44/29,428.74 = 14,164.83/x
  3. Step 3: Cross multiply
    21,331.44x = 29,428.74 × 14,164.83
  4. Step 4: Simplify right side
    21,331.44x = 416,853,099.21
  5. Step 5: Solve for x
    x = 416,853,099.21/21,331.44
  6. Step 6: Final answer
    x = 19,541.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.