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Finding the Fourth Proportional to 24,741.26, 37,102.68 and 9,945.20

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Solution

The fourth proportional to 24,741.26, 37,102.68 and 9,945.20 is: 14,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,741.26 : 37,102.68 = 9,945.20 : x
  2. Step 2: Convert to fraction form
    24,741.26/37,102.68 = 9,945.20/x
  3. Step 3: Cross multiply
    24,741.26x = 37,102.68 × 9,945.20
  4. Step 4: Simplify right side
    24,741.26x = 368,993,573.14
  5. Step 5: Solve for x
    x = 368,993,573.14/24,741.26
  6. Step 6: Final answer
    x = 14,914.10

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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.