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Finding the Fourth Proportional to 14,025.13, 21,021.54 and 5,696

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Solution

The fourth proportional to 14,025.13, 21,021.54 and 5,696 is: 8,537.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,025.13 : 21,021.54 = 5,696 : x
  2. Step 2: Convert to fraction form
    14,025.13/21,021.54 = 5,696/x
  3. Step 3: Cross multiply
    14,025.13x = 21,021.54 × 5,696
  4. Step 4: Simplify right side
    14,025.13x = 119,738,691.84
  5. Step 5: Solve for x
    x = 119,738,691.84/14,025.13
  6. Step 6: Final answer
    x = 8,537.44

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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.