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Finding the Fourth Proportional to 22,164.67, 30,577.60 and 14,601.30

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Solution

The fourth proportional to 22,164.67, 30,577.60 and 14,601.30 is: 20,143.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164.67 : 30,577.60 = 14,601.30 : x
  2. Step 2: Convert to fraction form
    22,164.67/30,577.60 = 14,601.30/x
  3. Step 3: Cross multiply
    22,164.67x = 30,577.60 × 14,601.30
  4. Step 4: Simplify right side
    22,164.67x = 446,472,710.88
  5. Step 5: Solve for x
    x = 446,472,710.88/22,164.67
  6. Step 6: Final answer
    x = 20,143.44

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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.