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Finding the Fourth Proportional to 13,688.94, 20,534.72 and 6,295.46

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Solution

The fourth proportional to 13,688.94, 20,534.72 and 6,295.46 is: 9,443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.94 : 20,534.72 = 6,295.46 : x
  2. Step 2: Convert to fraction form
    13,688.94/20,534.72 = 6,295.46/x
  3. Step 3: Cross multiply
    13,688.94x = 20,534.72 × 6,295.46
  4. Step 4: Simplify right side
    13,688.94x = 129,275,508.37
  5. Step 5: Solve for x
    x = 129,275,508.37/13,688.94
  6. Step 6: Final answer
    x = 9,443.79

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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.