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Finding the Fourth Proportional to 13,712.14, 20,563.96 and 4,945.92

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Solution

The fourth proportional to 13,712.14, 20,563.96 and 4,945.92 is: 7,417.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.14 : 20,563.96 = 4,945.92 : x
  2. Step 2: Convert to fraction form
    13,712.14/20,563.96 = 4,945.92/x
  3. Step 3: Cross multiply
    13,712.14x = 20,563.96 × 4,945.92
  4. Step 4: Simplify right side
    13,712.14x = 101,707,701.04
  5. Step 5: Solve for x
    x = 101,707,701.04/13,712.14
  6. Step 6: Final answer
    x = 7,417.35

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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.