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Finding the Fourth Proportional to 13,205.82, 18,224.50 and 7,237.50

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Solution

The fourth proportional to 13,205.82, 18,224.50 and 7,237.50 is: 9,988.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.82 : 18,224.50 = 7,237.50 : x
  2. Step 2: Convert to fraction form
    13,205.82/18,224.50 = 7,237.50/x
  3. Step 3: Cross multiply
    13,205.82x = 18,224.50 × 7,237.50
  4. Step 4: Simplify right side
    13,205.82x = 131,899,818.75
  5. Step 5: Solve for x
    x = 131,899,818.75/13,205.82
  6. Step 6: Final answer
    x = 9,988.01

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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.