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Finding the Fourth Proportional to 14,082.30, 19,434.18 and 7,794.68

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Solution

The fourth proportional to 14,082.30, 19,434.18 and 7,794.68 is: 10,756.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082.30 : 19,434.18 = 7,794.68 : x
  2. Step 2: Convert to fraction form
    14,082.30/19,434.18 = 7,794.68/x
  3. Step 3: Cross multiply
    14,082.30x = 19,434.18 × 7,794.68
  4. Step 4: Simplify right side
    14,082.30x = 151,483,116.99
  5. Step 5: Solve for x
    x = 151,483,116.99/14,082.30
  6. Step 6: Final answer
    x = 10,756.99

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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.