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Finding the Fourth Proportional to 13,774.45, 19,008.34 and 7,806.67

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Solution

The fourth proportional to 13,774.45, 19,008.34 and 7,806.67 is: 10,772.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.45 : 19,008.34 = 7,806.67 : x
  2. Step 2: Convert to fraction form
    13,774.45/19,008.34 = 7,806.67/x
  3. Step 3: Cross multiply
    13,774.45x = 19,008.34 × 7,806.67
  4. Step 4: Simplify right side
    13,774.45x = 148,391,703.55
  5. Step 5: Solve for x
    x = 148,391,703.55/13,774.45
  6. Step 6: Final answer
    x = 10,772.97

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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.