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Finding the Fourth Proportional to 16,669.85, 23,004.89 and 9,116.06

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Solution

The fourth proportional to 16,669.85, 23,004.89 and 9,116.06 is: 12,580.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,669.85 : 23,004.89 = 9,116.06 : x
  2. Step 2: Convert to fraction form
    16,669.85/23,004.89 = 9,116.06/x
  3. Step 3: Cross multiply
    16,669.85x = 23,004.89 × 9,116.06
  4. Step 4: Simplify right side
    16,669.85x = 209,713,865.30
  5. Step 5: Solve for x
    x = 209,713,865.30/16,669.85
  6. Step 6: Final answer
    x = 12,580.43

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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.