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Finding the Fourth Proportional to 12,665.16, 18,981.23 and 6,814.89

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Solution

The fourth proportional to 12,665.16, 18,981.23 and 6,814.89 is: 10,213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,665.16 : 18,981.23 = 6,814.89 : x
  2. Step 2: Convert to fraction form
    12,665.16/18,981.23 = 6,814.89/x
  3. Step 3: Cross multiply
    12,665.16x = 18,981.23 × 6,814.89
  4. Step 4: Simplify right side
    12,665.16x = 129,354,960.44
  5. Step 5: Solve for x
    x = 129,354,960.44/12,665.16
  6. Step 6: Final answer
    x = 10,213.45

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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.