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Finding the Fourth Proportional to 17,133.64, 23,643.94 and 10,419.44

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Solution

The fourth proportional to 17,133.64, 23,643.94 and 10,419.44 is: 14,378.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,133.64 : 23,643.94 = 10,419.44 : x
  2. Step 2: Convert to fraction form
    17,133.64/23,643.94 = 10,419.44/x
  3. Step 3: Cross multiply
    17,133.64x = 23,643.94 × 10,419.44
  4. Step 4: Simplify right side
    17,133.64x = 246,356,614.19
  5. Step 5: Solve for x
    x = 246,356,614.19/17,133.64
  6. Step 6: Final answer
    x = 14,378.53

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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.