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Finding the Fourth Proportional to 12,492.27, 18,747.54 and 9,214.20

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Solution

The fourth proportional to 12,492.27, 18,747.54 and 9,214.20 is: 13,828.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,492.27 : 18,747.54 = 9,214.20 : x
  2. Step 2: Convert to fraction form
    12,492.27/18,747.54 = 9,214.20/x
  3. Step 3: Cross multiply
    12,492.27x = 18,747.54 × 9,214.20
  4. Step 4: Simplify right side
    12,492.27x = 172,743,583.07
  5. Step 5: Solve for x
    x = 172,743,583.07/12,492.27
  6. Step 6: Final answer
    x = 13,828.04

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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.