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Finding the Fourth Proportional to 12,003.44, 17,946 and 10,175

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Solution

The fourth proportional to 12,003.44, 17,946 and 10,175 is: 15,212.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.44 : 17,946 = 10,175 : x
  2. Step 2: Convert to fraction form
    12,003.44/17,946 = 10,175/x
  3. Step 3: Cross multiply
    12,003.44x = 17,946 × 10,175
  4. Step 4: Simplify right side
    12,003.44x = 182,600,550
  5. Step 5: Solve for x
    x = 182,600,550/12,003.44
  6. Step 6: Final answer
    x = 15,212.35

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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.