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Finding the Fourth Proportional to 16,078.96, 22,199.80 and 10,038.41

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Solution

The fourth proportional to 16,078.96, 22,199.80 and 10,038.41 is: 13,859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.96 : 22,199.80 = 10,038.41 : x
  2. Step 2: Convert to fraction form
    16,078.96/22,199.80 = 10,038.41/x
  3. Step 3: Cross multiply
    16,078.96x = 22,199.80 × 10,038.41
  4. Step 4: Simplify right side
    16,078.96x = 222,850,558.22
  5. Step 5: Solve for x
    x = 222,850,558.22/16,078.96
  6. Step 6: Final answer
    x = 13,859.76

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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.