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Finding the Fourth Proportional to 13,776.96, 20,652.48 and 5,007.36

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Solution

The fourth proportional to 13,776.96, 20,652.48 and 5,007.36 is: 7,506.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.96 : 20,652.48 = 5,007.36 : x
  2. Step 2: Convert to fraction form
    13,776.96/20,652.48 = 5,007.36/x
  3. Step 3: Cross multiply
    13,776.96x = 20,652.48 × 5,007.36
  4. Step 4: Simplify right side
    13,776.96x = 103,414,402.25
  5. Step 5: Solve for x
    x = 103,414,402.25/13,776.96
  6. Step 6: Final answer
    x = 7,506.33

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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.