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Finding the Fourth Proportional to 27,184.50, 40,772.70 and 8,465.04

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Solution

The fourth proportional to 27,184.50, 40,772.70 and 8,465.04 is: 12,696.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,184.50 : 40,772.70 = 8,465.04 : x
  2. Step 2: Convert to fraction form
    27,184.50/40,772.70 = 8,465.04/x
  3. Step 3: Cross multiply
    27,184.50x = 40,772.70 × 8,465.04
  4. Step 4: Simplify right side
    27,184.50x = 345,142,536.41
  5. Step 5: Solve for x
    x = 345,142,536.41/27,184.50
  6. Step 6: Final answer
    x = 12,696.30

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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.