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Finding the Fourth Proportional to 13,161.30, 18,162.64 and 7,193.07

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Solution

The fourth proportional to 13,161.30, 18,162.64 and 7,193.07 is: 9,926.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,161.30 : 18,162.64 = 7,193.07 : x
  2. Step 2: Convert to fraction form
    13,161.30/18,162.64 = 7,193.07/x
  3. Step 3: Cross multiply
    13,161.30x = 18,162.64 × 7,193.07
  4. Step 4: Simplify right side
    13,161.30x = 130,645,037.87
  5. Step 5: Solve for x
    x = 130,645,037.87/13,161.30
  6. Step 6: Final answer
    x = 9,926.46

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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.