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Finding the Fourth Proportional to 24,738.12, 37,107.32 and 8,098.02

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Solution

The fourth proportional to 24,738.12, 37,107.32 and 8,098.02 is: 12,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,738.12 : 37,107.32 = 8,098.02 : x
  2. Step 2: Convert to fraction form
    24,738.12/37,107.32 = 8,098.02/x
  3. Step 3: Cross multiply
    24,738.12x = 37,107.32 × 8,098.02
  4. Step 4: Simplify right side
    24,738.12x = 300,495,779.02
  5. Step 5: Solve for x
    x = 300,495,779.02/24,738.12
  6. Step 6: Final answer
    x = 12,147.07

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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.