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Finding the Fourth Proportional to 16,570.34, 22,866.73 and 9,016.82

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Solution

The fourth proportional to 16,570.34, 22,866.73 and 9,016.82 is: 12,443.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,570.34 : 22,866.73 = 9,016.82 : x
  2. Step 2: Convert to fraction form
    16,570.34/22,866.73 = 9,016.82/x
  3. Step 3: Cross multiply
    16,570.34x = 22,866.73 × 9,016.82
  4. Step 4: Simplify right side
    16,570.34x = 206,185,188.40
  5. Step 5: Solve for x
    x = 206,185,188.40/16,570.34
  6. Step 6: Final answer
    x = 12,443.03

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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.