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Finding the Fourth Proportional to 14,414.76, 21,627 and 14,317.56

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Solution

The fourth proportional to 14,414.76, 21,627 and 14,317.56 is: 21,481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.76 : 21,627 = 14,317.56 : x
  2. Step 2: Convert to fraction form
    14,414.76/21,627 = 14,317.56/x
  3. Step 3: Cross multiply
    14,414.76x = 21,627 × 14,317.56
  4. Step 4: Simplify right side
    14,414.76x = 309,645,870.12
  5. Step 5: Solve for x
    x = 309,645,870.12/14,414.76
  6. Step 6: Final answer
    x = 21,481.17

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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.