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Finding the Fourth Proportional to 13,465.67, 20,198.50 and 4,703.09

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Solution

The fourth proportional to 13,465.67, 20,198.50 and 4,703.09 is: 7,054.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.67 : 20,198.50 = 4,703.09 : x
  2. Step 2: Convert to fraction form
    13,465.67/20,198.50 = 4,703.09/x
  3. Step 3: Cross multiply
    13,465.67x = 20,198.50 × 4,703.09
  4. Step 4: Simplify right side
    13,465.67x = 94,995,250.61
  5. Step 5: Solve for x
    x = 94,995,250.61/13,465.67
  6. Step 6: Final answer
    x = 7,054.63

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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.