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Finding the Fourth Proportional to 14,577.64, 21,863.22 and 4,190.20

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Solution

The fourth proportional to 14,577.64, 21,863.22 and 4,190.20 is: 6,284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.64 : 21,863.22 = 4,190.20 : x
  2. Step 2: Convert to fraction form
    14,577.64/21,863.22 = 4,190.20/x
  3. Step 3: Cross multiply
    14,577.64x = 21,863.22 × 4,190.20
  4. Step 4: Simplify right side
    14,577.64x = 91,611,264.44
  5. Step 5: Solve for x
    x = 91,611,264.44/14,577.64
  6. Step 6: Final answer
    x = 6,284.37

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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.