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Finding the Fourth Proportional to 13,465.22, 20,197.86 and 6,443.58

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Solution

The fourth proportional to 13,465.22, 20,197.86 and 6,443.58 is: 9,665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.22 : 20,197.86 = 6,443.58 : x
  2. Step 2: Convert to fraction form
    13,465.22/20,197.86 = 6,443.58/x
  3. Step 3: Cross multiply
    13,465.22x = 20,197.86 × 6,443.58
  4. Step 4: Simplify right side
    13,465.22x = 130,146,526.74
  5. Step 5: Solve for x
    x = 130,146,526.74/13,465.22
  6. Step 6: Final answer
    x = 9,665.38

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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.