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Finding the Fourth Proportional to 13,192.50, 18,205.72 and 9,838.29

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Solution

The fourth proportional to 13,192.50, 18,205.72 and 9,838.29 is: 13,576.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,192.50 : 18,205.72 = 9,838.29 : x
  2. Step 2: Convert to fraction form
    13,192.50/18,205.72 = 9,838.29/x
  3. Step 3: Cross multiply
    13,192.50x = 18,205.72 × 9,838.29
  4. Step 4: Simplify right side
    13,192.50x = 179,113,153.02
  5. Step 5: Solve for x
    x = 179,113,153.02/13,192.50
  6. Step 6: Final answer
    x = 13,576.89

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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.