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Finding the Fourth Proportional to 13,774.28, 19,011.14 and 7,806.20

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Solution

The fourth proportional to 13,774.28, 19,011.14 and 7,806.20 is: 10,774.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.28 : 19,011.14 = 7,806.20 : x
  2. Step 2: Convert to fraction form
    13,774.28/19,011.14 = 7,806.20/x
  3. Step 3: Cross multiply
    13,774.28x = 19,011.14 × 7,806.20
  4. Step 4: Simplify right side
    13,774.28x = 148,404,626.98
  5. Step 5: Solve for x
    x = 148,404,626.98/13,774.28
  6. Step 6: Final answer
    x = 10,774.04

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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.