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Finding the Fourth Proportional to 21,230.06, 29,296.74 and 11,798

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Solution

The fourth proportional to 21,230.06, 29,296.74 and 11,798 is: 16,280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,230.06 : 29,296.74 = 11,798 : x
  2. Step 2: Convert to fraction form
    21,230.06/29,296.74 = 11,798/x
  3. Step 3: Cross multiply
    21,230.06x = 29,296.74 × 11,798
  4. Step 4: Simplify right side
    21,230.06x = 345,642,938.52
  5. Step 5: Solve for x
    x = 345,642,938.52/21,230.06
  6. Step 6: Final answer
    x = 16,280.83

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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.