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Finding the Fourth Proportional to 13,465.85, 20,198.78 and 6,444.21

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Solution

The fourth proportional to 13,465.85, 20,198.78 and 6,444.21 is: 9,666.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.85 : 20,198.78 = 6,444.21 : x
  2. Step 2: Convert to fraction form
    13,465.85/20,198.78 = 6,444.21/x
  3. Step 3: Cross multiply
    13,465.85x = 20,198.78 × 6,444.21
  4. Step 4: Simplify right side
    13,465.85x = 130,165,147.84
  5. Step 5: Solve for x
    x = 130,165,147.84/13,465.85
  6. Step 6: Final answer
    x = 9,666.32

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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.