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Finding the Fourth Proportional to 21,096.48, 29,114.15 and 11,665.65

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Solution

The fourth proportional to 21,096.48, 29,114.15 and 11,665.65 is: 16,099.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,096.48 : 29,114.15 = 11,665.65 : x
  2. Step 2: Convert to fraction form
    21,096.48/29,114.15 = 11,665.65/x
  3. Step 3: Cross multiply
    21,096.48x = 29,114.15 × 11,665.65
  4. Step 4: Simplify right side
    21,096.48x = 339,635,483.95
  5. Step 5: Solve for x
    x = 339,635,483.95/21,096.48
  6. Step 6: Final answer
    x = 16,099.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.