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Finding the Fourth Proportional to 20,969.36, 31,454.04 and 7,118

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Solution

The fourth proportional to 20,969.36, 31,454.04 and 7,118 is: 10,677

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,969.36 : 31,454.04 = 7,118 : x
  2. Step 2: Convert to fraction form
    20,969.36/31,454.04 = 7,118/x
  3. Step 3: Cross multiply
    20,969.36x = 31,454.04 × 7,118
  4. Step 4: Simplify right side
    20,969.36x = 223,889,856.72
  5. Step 5: Solve for x
    x = 223,889,856.72/20,969.36
  6. Step 6: Final answer
    x = 10,677

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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.