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Finding the Fourth Proportional to 11,745.23, 17,618.45 and 2,980.22

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Solution

The fourth proportional to 11,745.23, 17,618.45 and 2,980.22 is: 4,470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.23 : 17,618.45 = 2,980.22 : x
  2. Step 2: Convert to fraction form
    11,745.23/17,618.45 = 2,980.22/x
  3. Step 3: Cross multiply
    11,745.23x = 17,618.45 × 2,980.22
  4. Step 4: Simplify right side
    11,745.23x = 52,506,754.07
  5. Step 5: Solve for x
    x = 52,506,754.07/11,745.23
  6. Step 6: Final answer
    x = 4,470.48

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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.