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Finding the Fourth Proportional to 14,563.38, 21,829.92 and 9,883.77

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Solution

The fourth proportional to 14,563.38, 21,829.92 and 9,883.77 is: 14,815.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.38 : 21,829.92 = 9,883.77 : x
  2. Step 2: Convert to fraction form
    14,563.38/21,829.92 = 9,883.77/x
  3. Step 3: Cross multiply
    14,563.38x = 21,829.92 × 9,883.77
  4. Step 4: Simplify right side
    14,563.38x = 215,761,908.40
  5. Step 5: Solve for x
    x = 215,761,908.40/14,563.38
  6. Step 6: Final answer
    x = 14,815.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.