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Finding the Fourth Proportional to 12,338.73, 17,024.72 and 7,303.23

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Solution

The fourth proportional to 12,338.73, 17,024.72 and 7,303.23 is: 10,076.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338.73 : 17,024.72 = 7,303.23 : x
  2. Step 2: Convert to fraction form
    12,338.73/17,024.72 = 7,303.23/x
  3. Step 3: Cross multiply
    12,338.73x = 17,024.72 × 7,303.23
  4. Step 4: Simplify right side
    12,338.73x = 124,335,409.33
  5. Step 5: Solve for x
    x = 124,335,409.33/12,338.73
  6. Step 6: Final answer
    x = 10,076.84

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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.