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Finding the Fourth Proportional to 22,078.50, 30,468.60 and 12,647.40

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Solution

The fourth proportional to 22,078.50, 30,468.60 and 12,647.40 is: 17,453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,078.50 : 30,468.60 = 12,647.40 : x
  2. Step 2: Convert to fraction form
    22,078.50/30,468.60 = 12,647.40/x
  3. Step 3: Cross multiply
    22,078.50x = 30,468.60 × 12,647.40
  4. Step 4: Simplify right side
    22,078.50x = 385,348,571.64
  5. Step 5: Solve for x
    x = 385,348,571.64/22,078.50
  6. Step 6: Final answer
    x = 17,453.57

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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.