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Finding the Fourth Proportional to 13,243.50, 19,868.49 and 4,009.50

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Solution

The fourth proportional to 13,243.50, 19,868.49 and 4,009.50 is: 6,015.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.50 : 19,868.49 = 4,009.50 : x
  2. Step 2: Convert to fraction form
    13,243.50/19,868.49 = 4,009.50/x
  3. Step 3: Cross multiply
    13,243.50x = 19,868.49 × 4,009.50
  4. Step 4: Simplify right side
    13,243.50x = 79,662,710.66
  5. Step 5: Solve for x
    x = 79,662,710.66/13,243.50
  6. Step 6: Final answer
    x = 6,015.23

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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.