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Finding the Fourth Proportional to 14,493.28, 21,715.44 and 9,296.32

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Solution

The fourth proportional to 14,493.28, 21,715.44 and 9,296.32 is: 13,928.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,493.28 : 21,715.44 = 9,296.32 : x
  2. Step 2: Convert to fraction form
    14,493.28/21,715.44 = 9,296.32/x
  3. Step 3: Cross multiply
    14,493.28x = 21,715.44 × 9,296.32
  4. Step 4: Simplify right side
    14,493.28x = 201,873,679.18
  5. Step 5: Solve for x
    x = 201,873,679.18/14,493.28
  6. Step 6: Final answer
    x = 13,928.78

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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.