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Finding the Fourth Proportional to 14,069.29, 21,096.14 and 5,755.14

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Solution

The fourth proportional to 14,069.29, 21,096.14 and 5,755.14 is: 8,629.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,069.29 : 21,096.14 = 5,755.14 : x
  2. Step 2: Convert to fraction form
    14,069.29/21,096.14 = 5,755.14/x
  3. Step 3: Cross multiply
    14,069.29x = 21,096.14 × 5,755.14
  4. Step 4: Simplify right side
    14,069.29x = 121,411,239.16
  5. Step 5: Solve for x
    x = 121,411,239.16/14,069.29
  6. Step 6: Final answer
    x = 8,629.52

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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.