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Finding the Fourth Proportional to 13,477.01, 20,224.74 and 4,711.94

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Solution

The fourth proportional to 13,477.01, 20,224.74 and 4,711.94 is: 7,071.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477.01 : 20,224.74 = 4,711.94 : x
  2. Step 2: Convert to fraction form
    13,477.01/20,224.74 = 4,711.94/x
  3. Step 3: Cross multiply
    13,477.01x = 20,224.74 × 4,711.94
  4. Step 4: Simplify right side
    13,477.01x = 95,297,660.27
  5. Step 5: Solve for x
    x = 95,297,660.27/13,477.01
  6. Step 6: Final answer
    x = 7,071.13

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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.