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Finding the Fourth Proportional to 14,072.63, 19,418.53 and 8,106.23

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Solution

The fourth proportional to 14,072.63, 19,418.53 and 8,106.23 is: 11,185.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,072.63 : 19,418.53 = 8,106.23 : x
  2. Step 2: Convert to fraction form
    14,072.63/19,418.53 = 8,106.23/x
  3. Step 3: Cross multiply
    14,072.63x = 19,418.53 × 8,106.23
  4. Step 4: Simplify right side
    14,072.63x = 157,411,070.44
  5. Step 5: Solve for x
    x = 157,411,070.44/14,072.63
  6. Step 6: Final answer
    x = 11,185.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.