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Finding the Fourth Proportional to 16,570.48, 22,866.89 and 9,016.83

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Solution

The fourth proportional to 16,570.48, 22,866.89 and 9,016.83 is: 12,443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,570.48 : 22,866.89 = 9,016.83 : x
  2. Step 2: Convert to fraction form
    16,570.48/22,866.89 = 9,016.83/x
  3. Step 3: Cross multiply
    16,570.48x = 22,866.89 × 9,016.83
  4. Step 4: Simplify right side
    16,570.48x = 206,186,859.76
  5. Step 5: Solve for x
    x = 206,186,859.76/16,570.48
  6. Step 6: Final answer
    x = 12,443.02

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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.