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Finding the Fourth Proportional to 16,004.88, 22,083.36 and 9,289.68

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Solution

The fourth proportional to 16,004.88, 22,083.36 and 9,289.68 is: 12,817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,004.88 : 22,083.36 = 9,289.68 : x
  2. Step 2: Convert to fraction form
    16,004.88/22,083.36 = 9,289.68/x
  3. Step 3: Cross multiply
    16,004.88x = 22,083.36 × 9,289.68
  4. Step 4: Simplify right side
    16,004.88x = 205,147,347.72
  5. Step 5: Solve for x
    x = 205,147,347.72/16,004.88
  6. Step 6: Final answer
    x = 12,817.80

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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.