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Finding the Fourth Proportional to 14,114, 21,170.32 and 3,584.32

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Solution

The fourth proportional to 14,114, 21,170.32 and 3,584.32 is: 5,376.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114 : 21,170.32 = 3,584.32 : x
  2. Step 2: Convert to fraction form
    14,114/21,170.32 = 3,584.32/x
  3. Step 3: Cross multiply
    14,114x = 21,170.32 × 3,584.32
  4. Step 4: Simplify right side
    14,114x = 75,881,201.38
  5. Step 5: Solve for x
    x = 75,881,201.38/14,114
  6. Step 6: Final answer
    x = 5,376.31

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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.