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Finding the Fourth Proportional to 14,230.67, 21,346.61 and 7,214.04

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Solution

The fourth proportional to 14,230.67, 21,346.61 and 7,214.04 is: 10,821.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230.67 : 21,346.61 = 7,214.04 : x
  2. Step 2: Convert to fraction form
    14,230.67/21,346.61 = 7,214.04/x
  3. Step 3: Cross multiply
    14,230.67x = 21,346.61 × 7,214.04
  4. Step 4: Simplify right side
    14,230.67x = 153,995,262.33
  5. Step 5: Solve for x
    x = 153,995,262.33/14,230.67
  6. Step 6: Final answer
    x = 10,821.37

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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.