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Finding the Fourth Proportional to 14,634.44, 20,190.42 and 10,157

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Solution

The fourth proportional to 14,634.44, 20,190.42 and 10,157 is: 14,013.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,634.44 : 20,190.42 = 10,157 : x
  2. Step 2: Convert to fraction form
    14,634.44/20,190.42 = 10,157/x
  3. Step 3: Cross multiply
    14,634.44x = 20,190.42 × 10,157
  4. Step 4: Simplify right side
    14,634.44x = 205,074,095.94
  5. Step 5: Solve for x
    x = 205,074,095.94/14,634.44
  6. Step 6: Final answer
    x = 14,013.12

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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.