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Finding the Fourth Proportional to 13,407.16, 20,112.90 and 4,171

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Solution

The fourth proportional to 13,407.16, 20,112.90 and 4,171 is: 6,257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.16 : 20,112.90 = 4,171 : x
  2. Step 2: Convert to fraction form
    13,407.16/20,112.90 = 4,171/x
  3. Step 3: Cross multiply
    13,407.16x = 20,112.90 × 4,171
  4. Step 4: Simplify right side
    13,407.16x = 83,890,905.90
  5. Step 5: Solve for x
    x = 83,890,905.90/13,407.16
  6. Step 6: Final answer
    x = 6,257.17

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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.