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Finding the Fourth Proportional to 14,082.82, 19,424.73 and 9,114.82

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Solution

The fourth proportional to 14,082.82, 19,424.73 and 9,114.82 is: 12,572.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082.82 : 19,424.73 = 9,114.82 : x
  2. Step 2: Convert to fraction form
    14,082.82/19,424.73 = 9,114.82/x
  3. Step 3: Cross multiply
    14,082.82x = 19,424.73 × 9,114.82
  4. Step 4: Simplify right side
    14,082.82x = 177,052,917.50
  5. Step 5: Solve for x
    x = 177,052,917.50/14,082.82
  6. Step 6: Final answer
    x = 12,572.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.