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Finding the Fourth Proportional to 13,206.33, 18,224.74 and 7,237.98

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Solution

The fourth proportional to 13,206.33, 18,224.74 and 7,237.98 is: 9,988.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.33 : 18,224.74 = 7,237.98 : x
  2. Step 2: Convert to fraction form
    13,206.33/18,224.74 = 7,237.98/x
  3. Step 3: Cross multiply
    13,206.33x = 18,224.74 × 7,237.98
  4. Step 4: Simplify right side
    13,206.33x = 131,910,303.63
  5. Step 5: Solve for x
    x = 131,910,303.63/13,206.33
  6. Step 6: Final answer
    x = 9,988.41

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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.