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Finding the Fourth Proportional to 14,622.64, 21,942.88 and 6,832

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Solution

The fourth proportional to 14,622.64, 21,942.88 and 6,832 is: 10,252.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,622.64 : 21,942.88 = 6,832 : x
  2. Step 2: Convert to fraction form
    14,622.64/21,942.88 = 6,832/x
  3. Step 3: Cross multiply
    14,622.64x = 21,942.88 × 6,832
  4. Step 4: Simplify right side
    14,622.64x = 149,913,756.16
  5. Step 5: Solve for x
    x = 149,913,756.16/14,622.64
  6. Step 6: Final answer
    x = 10,252.17

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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.