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Finding the Fourth Proportional to 27,228.12, 40,838.18 and 8,503.80

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Solution

The fourth proportional to 27,228.12, 40,838.18 and 8,503.80 is: 12,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,228.12 : 40,838.18 = 8,503.80 : x
  2. Step 2: Convert to fraction form
    27,228.12/40,838.18 = 8,503.80/x
  3. Step 3: Cross multiply
    27,228.12x = 40,838.18 × 8,503.80
  4. Step 4: Simplify right side
    27,228.12x = 347,279,715.08
  5. Step 5: Solve for x
    x = 347,279,715.08/27,228.12
  6. Step 6: Final answer
    x = 12,754.45

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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.