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Finding the Fourth Proportional to 17,165.76, 23,683.32 and 10,094.64

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Solution

The fourth proportional to 17,165.76, 23,683.32 and 10,094.64 is: 13,927.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,165.76 : 23,683.32 = 10,094.64 : x
  2. Step 2: Convert to fraction form
    17,165.76/23,683.32 = 10,094.64/x
  3. Step 3: Cross multiply
    17,165.76x = 23,683.32 × 10,094.64
  4. Step 4: Simplify right side
    17,165.76x = 239,074,589.40
  5. Step 5: Solve for x
    x = 239,074,589.40/17,165.76
  6. Step 6: Final answer
    x = 13,927.41

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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.