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Finding the Fourth Proportional to 13,865.42, 20,798.04 and 3,477.14

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Solution

The fourth proportional to 13,865.42, 20,798.04 and 3,477.14 is: 5,215.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.42 : 20,798.04 = 3,477.14 : x
  2. Step 2: Convert to fraction form
    13,865.42/20,798.04 = 3,477.14/x
  3. Step 3: Cross multiply
    13,865.42x = 20,798.04 × 3,477.14
  4. Step 4: Simplify right side
    13,865.42x = 72,317,696.81
  5. Step 5: Solve for x
    x = 72,317,696.81/13,865.42
  6. Step 6: Final answer
    x = 5,215.69

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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.