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Finding the Fourth Proportional to 13,394.63, 20,089.20 and 5,071.78

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Solution

The fourth proportional to 13,394.63, 20,089.20 and 5,071.78 is: 7,606.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,394.63 : 20,089.20 = 5,071.78 : x
  2. Step 2: Convert to fraction form
    13,394.63/20,089.20 = 5,071.78/x
  3. Step 3: Cross multiply
    13,394.63x = 20,089.20 × 5,071.78
  4. Step 4: Simplify right side
    13,394.63x = 101,888,002.78
  5. Step 5: Solve for x
    x = 101,888,002.78/13,394.63
  6. Step 6: Final answer
    x = 7,606.63

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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.