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Finding the Fourth Proportional to 14,896.47, 20,557.37 and 8,182.71

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Solution

The fourth proportional to 14,896.47, 20,557.37 and 8,182.71 is: 11,292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,896.47 : 20,557.37 = 8,182.71 : x
  2. Step 2: Convert to fraction form
    14,896.47/20,557.37 = 8,182.71/x
  3. Step 3: Cross multiply
    14,896.47x = 20,557.37 × 8,182.71
  4. Step 4: Simplify right side
    14,896.47x = 168,214,997.07
  5. Step 5: Solve for x
    x = 168,214,997.07/14,896.47
  6. Step 6: Final answer
    x = 11,292.27

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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.