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Finding the Fourth Proportional to 24,768.75, 37,156.23 and 8,130.51

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Solution

The fourth proportional to 24,768.75, 37,156.23 and 8,130.51 is: 12,196.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,768.75 : 37,156.23 = 8,130.51 : x
  2. Step 2: Convert to fraction form
    24,768.75/37,156.23 = 8,130.51/x
  3. Step 3: Cross multiply
    24,768.75x = 37,156.23 × 8,130.51
  4. Step 4: Simplify right side
    24,768.75x = 302,099,099.58
  5. Step 5: Solve for x
    x = 302,099,099.58/24,768.75
  6. Step 6: Final answer
    x = 12,196.78

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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.