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Finding the Fourth Proportional to 24,752.72, 37,121.31 and 8,109.05

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Solution

The fourth proportional to 24,752.72, 37,121.31 and 8,109.05 is: 12,161.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,752.72 : 37,121.31 = 8,109.05 : x
  2. Step 2: Convert to fraction form
    24,752.72/37,121.31 = 8,109.05/x
  3. Step 3: Cross multiply
    24,752.72x = 37,121.31 × 8,109.05
  4. Step 4: Simplify right side
    24,752.72x = 301,018,373.25
  5. Step 5: Solve for x
    x = 301,018,373.25/24,752.72
  6. Step 6: Final answer
    x = 12,161.02

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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.