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Finding the Fourth Proportional to 27,154.69, 40,738.41 and 8,433.76

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Solution

The fourth proportional to 27,154.69, 40,738.41 and 8,433.76 is: 12,652.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,154.69 : 40,738.41 = 8,433.76 : x
  2. Step 2: Convert to fraction form
    27,154.69/40,738.41 = 8,433.76/x
  3. Step 3: Cross multiply
    27,154.69x = 40,738.41 × 8,433.76
  4. Step 4: Simplify right side
    27,154.69x = 343,577,972.72
  5. Step 5: Solve for x
    x = 343,577,972.72/27,154.69
  6. Step 6: Final answer
    x = 12,652.62

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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.