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Finding the Fourth Proportional to 27,216, 40,824 and 10,811.52

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Solution

The fourth proportional to 27,216, 40,824 and 10,811.52 is: 16,217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,216 : 40,824 = 10,811.52 : x
  2. Step 2: Convert to fraction form
    27,216/40,824 = 10,811.52/x
  3. Step 3: Cross multiply
    27,216x = 40,824 × 10,811.52
  4. Step 4: Simplify right side
    27,216x = 441,369,492.48
  5. Step 5: Solve for x
    x = 441,369,492.48/27,216
  6. Step 6: Final answer
    x = 16,217.28

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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.