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Finding the Fourth Proportional to 14,454.27, 21,663.64 and 8,219.49

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Solution

The fourth proportional to 14,454.27, 21,663.64 and 8,219.49 is: 12,319.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.27 : 21,663.64 = 8,219.49 : x
  2. Step 2: Convert to fraction form
    14,454.27/21,663.64 = 8,219.49/x
  3. Step 3: Cross multiply
    14,454.27x = 21,663.64 × 8,219.49
  4. Step 4: Simplify right side
    14,454.27x = 178,064,072.34
  5. Step 5: Solve for x
    x = 178,064,072.34/14,454.27
  6. Step 6: Final answer
    x = 12,319.13

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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.