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Finding the Fourth Proportional to 13,951.75, 19,247.96 and 7,980.23

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Solution

The fourth proportional to 13,951.75, 19,247.96 and 7,980.23 is: 11,009.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,951.75 : 19,247.96 = 7,980.23 : x
  2. Step 2: Convert to fraction form
    13,951.75/19,247.96 = 7,980.23/x
  3. Step 3: Cross multiply
    13,951.75x = 19,247.96 × 7,980.23
  4. Step 4: Simplify right side
    13,951.75x = 153,603,051.59
  5. Step 5: Solve for x
    x = 153,603,051.59/13,951.75
  6. Step 6: Final answer
    x = 11,009.59

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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.