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Finding the Fourth Proportional to 14,269.92, 19,697.04 and 10,022

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Solution

The fourth proportional to 14,269.92, 19,697.04 and 10,022 is: 13,833.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,269.92 : 19,697.04 = 10,022 : x
  2. Step 2: Convert to fraction form
    14,269.92/19,697.04 = 10,022/x
  3. Step 3: Cross multiply
    14,269.92x = 19,697.04 × 10,022
  4. Step 4: Simplify right side
    14,269.92x = 197,403,734.88
  5. Step 5: Solve for x
    x = 197,403,734.88/14,269.92
  6. Step 6: Final answer
    x = 13,833.56

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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.