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Finding the Fourth Proportional to 12,549.72, 18,823.14 and 3,316.44

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Solution

The fourth proportional to 12,549.72, 18,823.14 and 3,316.44 is: 4,974.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,549.72 : 18,823.14 = 3,316.44 : x
  2. Step 2: Convert to fraction form
    12,549.72/18,823.14 = 3,316.44/x
  3. Step 3: Cross multiply
    12,549.72x = 18,823.14 × 3,316.44
  4. Step 4: Simplify right side
    12,549.72x = 62,425,814.42
  5. Step 5: Solve for x
    x = 62,425,814.42/12,549.72
  6. Step 6: Final answer
    x = 4,974.28

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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.