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Finding the Fourth Proportional to 14,142.14, 21,194.31 and 7,554.14

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Solution

The fourth proportional to 14,142.14, 21,194.31 and 7,554.14 is: 11,321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.14 : 21,194.31 = 7,554.14 : x
  2. Step 2: Convert to fraction form
    14,142.14/21,194.31 = 7,554.14/x
  3. Step 3: Cross multiply
    14,142.14x = 21,194.31 × 7,554.14
  4. Step 4: Simplify right side
    14,142.14x = 160,104,784.94
  5. Step 5: Solve for x
    x = 160,104,784.94/14,142.14
  6. Step 6: Final answer
    x = 11,321.11

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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.