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Finding the Fourth Proportional to 14,082.23, 19,433.31 and 7,794.74

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Solution

The fourth proportional to 14,082.23, 19,433.31 and 7,794.74 is: 10,756.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082.23 : 19,433.31 = 7,794.74 : x
  2. Step 2: Convert to fraction form
    14,082.23/19,433.31 = 7,794.74/x
  3. Step 3: Cross multiply
    14,082.23x = 19,433.31 × 7,794.74
  4. Step 4: Simplify right side
    14,082.23x = 151,477,598.79
  5. Step 5: Solve for x
    x = 151,477,598.79/14,082.23
  6. Step 6: Final answer
    x = 10,756.65

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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.