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Finding the Fourth Proportional to 15,614.21, 23,424.77 and 7,289.69

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Solution

The fourth proportional to 15,614.21, 23,424.77 and 7,289.69 is: 10,936.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,614.21 : 23,424.77 = 7,289.69 : x
  2. Step 2: Convert to fraction form
    15,614.21/23,424.77 = 7,289.69/x
  3. Step 3: Cross multiply
    15,614.21x = 23,424.77 × 7,289.69
  4. Step 4: Simplify right side
    15,614.21x = 170,759,158.05
  5. Step 5: Solve for x
    x = 170,759,158.05/15,614.21
  6. Step 6: Final answer
    x = 10,936.14

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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.