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Finding the Fourth Proportional to 13,486.46, 20,228.81 and 6,471.45

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Solution

The fourth proportional to 13,486.46, 20,228.81 and 6,471.45 is: 9,706.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.46 : 20,228.81 = 6,471.45 : x
  2. Step 2: Convert to fraction form
    13,486.46/20,228.81 = 6,471.45/x
  3. Step 3: Cross multiply
    13,486.46x = 20,228.81 × 6,471.45
  4. Step 4: Simplify right side
    13,486.46x = 130,909,700.12
  5. Step 5: Solve for x
    x = 130,909,700.12/13,486.46
  6. Step 6: Final answer
    x = 9,706.75

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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.