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Finding the Fourth Proportional to 12,822.60, 19,220.74 and 4,922.98

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Solution

The fourth proportional to 12,822.60, 19,220.74 and 4,922.98 is: 7,379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.60 : 19,220.74 = 4,922.98 : x
  2. Step 2: Convert to fraction form
    12,822.60/19,220.74 = 4,922.98/x
  3. Step 3: Cross multiply
    12,822.60x = 19,220.74 × 4,922.98
  4. Step 4: Simplify right side
    12,822.60x = 94,623,318.61
  5. Step 5: Solve for x
    x = 94,623,318.61/12,822.60
  6. Step 6: Final answer
    x = 7,379.42

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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.