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Finding the Fourth Proportional to 14,171.64, 21,256.20 and 4,313.10

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Solution

The fourth proportional to 14,171.64, 21,256.20 and 4,313.10 is: 6,469.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,171.64 : 21,256.20 = 4,313.10 : x
  2. Step 2: Convert to fraction form
    14,171.64/21,256.20 = 4,313.10/x
  3. Step 3: Cross multiply
    14,171.64x = 21,256.20 × 4,313.10
  4. Step 4: Simplify right side
    14,171.64x = 91,680,116.22
  5. Step 5: Solve for x
    x = 91,680,116.22/14,171.64
  6. Step 6: Final answer
    x = 6,469.27

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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.