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Finding the Fourth Proportional to 14,972.67, 22,463.87 and 7,182.09

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Solution

The fourth proportional to 14,972.67, 22,463.87 and 7,182.09 is: 10,775.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,972.67 : 22,463.87 = 7,182.09 : x
  2. Step 2: Convert to fraction form
    14,972.67/22,463.87 = 7,182.09/x
  3. Step 3: Cross multiply
    14,972.67x = 22,463.87 × 7,182.09
  4. Step 4: Simplify right side
    14,972.67x = 161,337,500.18
  5. Step 5: Solve for x
    x = 161,337,500.18/14,972.67
  6. Step 6: Final answer
    x = 10,775.47

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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.