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Finding the Fourth Proportional to 23,007.81, 34,511.64 and 7,214.04

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Solution

The fourth proportional to 23,007.81, 34,511.64 and 7,214.04 is: 10,821.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,007.81 : 34,511.64 = 7,214.04 : x
  2. Step 2: Convert to fraction form
    23,007.81/34,511.64 = 7,214.04/x
  3. Step 3: Cross multiply
    23,007.81x = 34,511.64 × 7,214.04
  4. Step 4: Simplify right side
    23,007.81x = 248,968,351.43
  5. Step 5: Solve for x
    x = 248,968,351.43/23,007.81
  6. Step 6: Final answer
    x = 10,821.04

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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.