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Finding the Fourth Proportional to 16,329.96, 22,538.48 and 9,256.41

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Solution

The fourth proportional to 16,329.96, 22,538.48 and 9,256.41 is: 12,775.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,329.96 : 22,538.48 = 9,256.41 : x
  2. Step 2: Convert to fraction form
    16,329.96/22,538.48 = 9,256.41/x
  3. Step 3: Cross multiply
    16,329.96x = 22,538.48 × 9,256.41
  4. Step 4: Simplify right side
    16,329.96x = 208,625,365.37
  5. Step 5: Solve for x
    x = 208,625,365.37/16,329.96
  6. Step 6: Final answer
    x = 12,775.62

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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.