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Finding the Fourth Proportional to 14,469.06, 21,710.34 and 5,116.16

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Solution

The fourth proportional to 14,469.06, 21,710.34 and 5,116.16 is: 7,676.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469.06 : 21,710.34 = 5,116.16 : x
  2. Step 2: Convert to fraction form
    14,469.06/21,710.34 = 5,116.16/x
  3. Step 3: Cross multiply
    14,469.06x = 21,710.34 × 5,116.16
  4. Step 4: Simplify right side
    14,469.06x = 111,073,438.96
  5. Step 5: Solve for x
    x = 111,073,438.96/14,469.06
  6. Step 6: Final answer
    x = 7,676.62

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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.