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Finding the Fourth Proportional to 27,492.80, 41,236.80 and 9,024.80

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Solution

The fourth proportional to 27,492.80, 41,236.80 and 9,024.80 is: 13,536.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,492.80 : 41,236.80 = 9,024.80 : x
  2. Step 2: Convert to fraction form
    27,492.80/41,236.80 = 9,024.80/x
  3. Step 3: Cross multiply
    27,492.80x = 41,236.80 × 9,024.80
  4. Step 4: Simplify right side
    27,492.80x = 372,153,872.64
  5. Step 5: Solve for x
    x = 372,153,872.64/27,492.80
  6. Step 6: Final answer
    x = 13,536.41

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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.