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Finding the Fourth Proportional to 13,478.01, 20,226.24 and 4,712.94

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Solution

The fourth proportional to 13,478.01, 20,226.24 and 4,712.94 is: 7,072.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.01 : 20,226.24 = 4,712.94 : x
  2. Step 2: Convert to fraction form
    13,478.01/20,226.24 = 4,712.94/x
  3. Step 3: Cross multiply
    13,478.01x = 20,226.24 × 4,712.94
  4. Step 4: Simplify right side
    13,478.01x = 95,325,055.55
  5. Step 5: Solve for x
    x = 95,325,055.55/13,478.01
  6. Step 6: Final answer
    x = 7,072.64

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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.