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Finding the Fourth Proportional to 18,013.68, 27,030.04 and 12,782.50

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Solution

The fourth proportional to 18,013.68, 27,030.04 and 12,782.50 is: 19,180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,013.68 : 27,030.04 = 12,782.50 : x
  2. Step 2: Convert to fraction form
    18,013.68/27,030.04 = 12,782.50/x
  3. Step 3: Cross multiply
    18,013.68x = 27,030.04 × 12,782.50
  4. Step 4: Simplify right side
    18,013.68x = 345,511,486.30
  5. Step 5: Solve for x
    x = 345,511,486.30/18,013.68
  6. Step 6: Final answer
    x = 19,180.51

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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.