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Finding the Fourth Proportional to 14,497.73, 20,005.82 and 8,123.43

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Solution

The fourth proportional to 14,497.73, 20,005.82 and 8,123.43 is: 11,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.73 : 20,005.82 = 8,123.43 : x
  2. Step 2: Convert to fraction form
    14,497.73/20,005.82 = 8,123.43/x
  3. Step 3: Cross multiply
    14,497.73x = 20,005.82 × 8,123.43
  4. Step 4: Simplify right side
    14,497.73x = 162,515,878.36
  5. Step 5: Solve for x
    x = 162,515,878.36/14,497.73
  6. Step 6: Final answer
    x = 11,209.75

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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.