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Finding the Fourth Proportional to 24,650.33, 36,977.52 and 7,120.31

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Solution

The fourth proportional to 24,650.33, 36,977.52 and 7,120.31 is: 10,681.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,650.33 : 36,977.52 = 7,120.31 : x
  2. Step 2: Convert to fraction form
    24,650.33/36,977.52 = 7,120.31/x
  3. Step 3: Cross multiply
    24,650.33x = 36,977.52 × 7,120.31
  4. Step 4: Simplify right side
    24,650.33x = 263,291,405.43
  5. Step 5: Solve for x
    x = 263,291,405.43/24,650.33
  6. Step 6: Final answer
    x = 10,681.05

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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.