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Finding the Fourth Proportional to 27,946.76, 41,920.14 and 8,225.50

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Solution

The fourth proportional to 27,946.76, 41,920.14 and 8,225.50 is: 12,338.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,946.76 : 41,920.14 = 8,225.50 : x
  2. Step 2: Convert to fraction form
    27,946.76/41,920.14 = 8,225.50/x
  3. Step 3: Cross multiply
    27,946.76x = 41,920.14 × 8,225.50
  4. Step 4: Simplify right side
    27,946.76x = 344,814,111.57
  5. Step 5: Solve for x
    x = 344,814,111.57/27,946.76
  6. Step 6: Final answer
    x = 12,338.25

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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.