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Finding the Fourth Proportional to 24,771.06, 37,166.31 and 9,189.90

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Solution

The fourth proportional to 24,771.06, 37,166.31 and 9,189.90 is: 13,788.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,771.06 : 37,166.31 = 9,189.90 : x
  2. Step 2: Convert to fraction form
    24,771.06/37,166.31 = 9,189.90/x
  3. Step 3: Cross multiply
    24,771.06x = 37,166.31 × 9,189.90
  4. Step 4: Simplify right side
    24,771.06x = 341,554,672.27
  5. Step 5: Solve for x
    x = 341,554,672.27/24,771.06
  6. Step 6: Final answer
    x = 13,788.46

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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.