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Finding the Fourth Proportional to 21,145.98, 29,182.83 and 12,194.10

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Solution

The fourth proportional to 21,145.98, 29,182.83 and 12,194.10 is: 16,828.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,145.98 : 29,182.83 = 12,194.10 : x
  2. Step 2: Convert to fraction form
    21,145.98/29,182.83 = 12,194.10/x
  3. Step 3: Cross multiply
    21,145.98x = 29,182.83 × 12,194.10
  4. Step 4: Simplify right side
    21,145.98x = 355,858,347.30
  5. Step 5: Solve for x
    x = 355,858,347.30/21,145.98
  6. Step 6: Final answer
    x = 16,828.65

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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.