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Finding the Fourth Proportional to 14,274.63, 19,696.82 and 8,142.39

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Solution

The fourth proportional to 14,274.63, 19,696.82 and 8,142.39 is: 11,235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274.63 : 19,696.82 = 8,142.39 : x
  2. Step 2: Convert to fraction form
    14,274.63/19,696.82 = 8,142.39/x
  3. Step 3: Cross multiply
    14,274.63x = 19,696.82 × 8,142.39
  4. Step 4: Simplify right side
    14,274.63x = 160,379,051.00
  5. Step 5: Solve for x
    x = 160,379,051.00/14,274.63
  6. Step 6: Final answer
    x = 11,235.25

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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.