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Finding the Fourth Proportional to 14,142.71, 19,516.39 and 7,855.49

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Solution

The fourth proportional to 14,142.71, 19,516.39 and 7,855.49 is: 10,840.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.71 : 19,516.39 = 7,855.49 : x
  2. Step 2: Convert to fraction form
    14,142.71/19,516.39 = 7,855.49/x
  3. Step 3: Cross multiply
    14,142.71x = 19,516.39 × 7,855.49
  4. Step 4: Simplify right side
    14,142.71x = 153,310,708.90
  5. Step 5: Solve for x
    x = 153,310,708.90/14,142.71
  6. Step 6: Final answer
    x = 10,840.27

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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.