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Finding the Fourth Proportional to 14,741.30, 22,082.31 and 7,323.30

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Solution

The fourth proportional to 14,741.30, 22,082.31 and 7,323.30 is: 10,970.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,741.30 : 22,082.31 = 7,323.30 : x
  2. Step 2: Convert to fraction form
    14,741.30/22,082.31 = 7,323.30/x
  3. Step 3: Cross multiply
    14,741.30x = 22,082.31 × 7,323.30
  4. Step 4: Simplify right side
    14,741.30x = 161,715,380.82
  5. Step 5: Solve for x
    x = 161,715,380.82/14,741.30
  6. Step 6: Final answer
    x = 10,970.23

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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.