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Finding the Fourth Proportional to 12,316.19, 18,474.28 and 3,082.19

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Solution

The fourth proportional to 12,316.19, 18,474.28 and 3,082.19 is: 4,623.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,316.19 : 18,474.28 = 3,082.19 : x
  2. Step 2: Convert to fraction form
    12,316.19/18,474.28 = 3,082.19/x
  3. Step 3: Cross multiply
    12,316.19x = 18,474.28 × 3,082.19
  4. Step 4: Simplify right side
    12,316.19x = 56,941,241.07
  5. Step 5: Solve for x
    x = 56,941,241.07/12,316.19
  6. Step 6: Final answer
    x = 4,623.28

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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.