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Finding the Fourth Proportional to 13,394.63, 20,096 and 5,077.19

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Solution

The fourth proportional to 13,394.63, 20,096 and 5,077.19 is: 7,617.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,394.63 : 20,096 = 5,077.19 : x
  2. Step 2: Convert to fraction form
    13,394.63/20,096 = 5,077.19/x
  3. Step 3: Cross multiply
    13,394.63x = 20,096 × 5,077.19
  4. Step 4: Simplify right side
    13,394.63x = 102,031,210.24
  5. Step 5: Solve for x
    x = 102,031,210.24/13,394.63
  6. Step 6: Final answer
    x = 7,617.32

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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.