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Finding the Fourth Proportional to 14,296.84, 19,720.44 and 10,311.64

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Solution

The fourth proportional to 14,296.84, 19,720.44 and 10,311.64 is: 14,223.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.84 : 19,720.44 = 10,311.64 : x
  2. Step 2: Convert to fraction form
    14,296.84/19,720.44 = 10,311.64/x
  3. Step 3: Cross multiply
    14,296.84x = 19,720.44 × 10,311.64
  4. Step 4: Simplify right side
    14,296.84x = 203,350,077.92
  5. Step 5: Solve for x
    x = 203,350,077.92/14,296.84
  6. Step 6: Final answer
    x = 14,223.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.