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Finding the Fourth Proportional to 13,046.70, 19,548.45 and 11,102.70

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Solution

The fourth proportional to 13,046.70, 19,548.45 and 11,102.70 is: 16,635.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,046.70 : 19,548.45 = 11,102.70 : x
  2. Step 2: Convert to fraction form
    13,046.70/19,548.45 = 11,102.70/x
  3. Step 3: Cross multiply
    13,046.70x = 19,548.45 × 11,102.70
  4. Step 4: Simplify right side
    13,046.70x = 217,040,575.82
  5. Step 5: Solve for x
    x = 217,040,575.82/13,046.70
  6. Step 6: Final answer
    x = 16,635.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.