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Finding the Fourth Proportional to 13,794.24, 19,031.76 and 7,825.44

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Solution

The fourth proportional to 13,794.24, 19,031.76 and 7,825.44 is: 10,796.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.24 : 19,031.76 = 7,825.44 : x
  2. Step 2: Convert to fraction form
    13,794.24/19,031.76 = 7,825.44/x
  3. Step 3: Cross multiply
    13,794.24x = 19,031.76 × 7,825.44
  4. Step 4: Simplify right side
    13,794.24x = 148,931,895.97
  5. Step 5: Solve for x
    x = 148,931,895.97/13,794.24
  6. Step 6: Final answer
    x = 10,796.67

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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.