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Finding the Fourth Proportional to 19,774.86, 27,296.22 and 12,226.98

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Solution

The fourth proportional to 19,774.86, 27,296.22 and 12,226.98 is: 16,877.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.86 : 27,296.22 = 12,226.98 : x
  2. Step 2: Convert to fraction form
    19,774.86/27,296.22 = 12,226.98/x
  3. Step 3: Cross multiply
    19,774.86x = 27,296.22 × 12,226.98
  4. Step 4: Simplify right side
    19,774.86x = 333,750,336.02
  5. Step 5: Solve for x
    x = 333,750,336.02/19,774.86
  6. Step 6: Final answer
    x = 16,877.51

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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.