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Finding the Fourth Proportional to 24,792.57, 37,180.94 and 8,148.74

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Solution

The fourth proportional to 24,792.57, 37,180.94 and 8,148.74 is: 12,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,792.57 : 37,180.94 = 8,148.74 : x
  2. Step 2: Convert to fraction form
    24,792.57/37,180.94 = 8,148.74/x
  3. Step 3: Cross multiply
    24,792.57x = 37,180.94 × 8,148.74
  4. Step 4: Simplify right side
    24,792.57x = 302,977,586.37
  5. Step 5: Solve for x
    x = 302,977,586.37/24,792.57
  6. Step 6: Final answer
    x = 12,220.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.