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Finding the Fourth Proportional to 19,726.56, 29,597.40 and 8,049.60

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Solution

The fourth proportional to 19,726.56, 29,597.40 and 8,049.60 is: 12,077.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,726.56 : 29,597.40 = 8,049.60 : x
  2. Step 2: Convert to fraction form
    19,726.56/29,597.40 = 8,049.60/x
  3. Step 3: Cross multiply
    19,726.56x = 29,597.40 × 8,049.60
  4. Step 4: Simplify right side
    19,726.56x = 238,247,231.04
  5. Step 5: Solve for x
    x = 238,247,231.04/19,726.56
  6. Step 6: Final answer
    x = 12,077.48

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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.