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Finding the Fourth Proportional to 24,791.16, 37,184.94 and 8,151

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Solution

The fourth proportional to 24,791.16, 37,184.94 and 8,151 is: 12,225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,791.16 : 37,184.94 = 8,151 : x
  2. Step 2: Convert to fraction form
    24,791.16/37,184.94 = 8,151/x
  3. Step 3: Cross multiply
    24,791.16x = 37,184.94 × 8,151
  4. Step 4: Simplify right side
    24,791.16x = 303,094,445.94
  5. Step 5: Solve for x
    x = 303,094,445.94/24,791.16
  6. Step 6: Final answer
    x = 12,225.91

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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.