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Finding the Fourth Proportional to 13,465.74, 20,198.43 and 4,700.61

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Solution

The fourth proportional to 13,465.74, 20,198.43 and 4,700.61 is: 7,050.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.74 : 20,198.43 = 4,700.61 : x
  2. Step 2: Convert to fraction form
    13,465.74/20,198.43 = 4,700.61/x
  3. Step 3: Cross multiply
    13,465.74x = 20,198.43 × 4,700.61
  4. Step 4: Simplify right side
    13,465.74x = 94,944,942.04
  5. Step 5: Solve for x
    x = 94,944,942.04/13,465.74
  6. Step 6: Final answer
    x = 7,050.85

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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.