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Finding the Fourth Proportional to 11,643.04, 17,383.01 and 10,232.43

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Solution

The fourth proportional to 11,643.04, 17,383.01 and 10,232.43 is: 15,276.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.04 : 17,383.01 = 10,232.43 : x
  2. Step 2: Convert to fraction form
    11,643.04/17,383.01 = 10,232.43/x
  3. Step 3: Cross multiply
    11,643.04x = 17,383.01 × 10,232.43
  4. Step 4: Simplify right side
    11,643.04x = 177,870,316.67
  5. Step 5: Solve for x
    x = 177,870,316.67/11,643.04
  6. Step 6: Final answer
    x = 15,276.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.