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Finding the Fourth Proportional to 18,232.54, 27,328.49 and 7,699.40

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Solution

The fourth proportional to 18,232.54, 27,328.49 and 7,699.40 is: 11,540.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,232.54 : 27,328.49 = 7,699.40 : x
  2. Step 2: Convert to fraction form
    18,232.54/27,328.49 = 7,699.40/x
  3. Step 3: Cross multiply
    18,232.54x = 27,328.49 × 7,699.40
  4. Step 4: Simplify right side
    18,232.54x = 210,413,085.84
  5. Step 5: Solve for x
    x = 210,413,085.84/18,232.54
  6. Step 6: Final answer
    x = 11,540.52

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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.