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Finding the Fourth Proportional to 12,017.31, 16,584.83 and 8,845.16

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Solution

The fourth proportional to 12,017.31, 16,584.83 and 8,845.16 is: 12,207.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,017.31 : 16,584.83 = 8,845.16 : x
  2. Step 2: Convert to fraction form
    12,017.31/16,584.83 = 8,845.16/x
  3. Step 3: Cross multiply
    12,017.31x = 16,584.83 × 8,845.16
  4. Step 4: Simplify right side
    12,017.31x = 146,695,347.77
  5. Step 5: Solve for x
    x = 146,695,347.77/12,017.31
  6. Step 6: Final answer
    x = 12,207.00

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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.