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Finding the Fourth Proportional to 16,563.17, 22,857.59 and 9,009.92

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Solution

The fourth proportional to 16,563.17, 22,857.59 and 9,009.92 is: 12,433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,563.17 : 22,857.59 = 9,009.92 : x
  2. Step 2: Convert to fraction form
    16,563.17/22,857.59 = 9,009.92/x
  3. Step 3: Cross multiply
    16,563.17x = 22,857.59 × 9,009.92
  4. Step 4: Simplify right side
    16,563.17x = 205,945,012.24
  5. Step 5: Solve for x
    x = 205,945,012.24/16,563.17
  6. Step 6: Final answer
    x = 12,433.92

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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.