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Finding the Fourth Proportional to 16,570.29, 22,866.75 and 9,016.70

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Solution

The fourth proportional to 16,570.29, 22,866.75 and 9,016.70 is: 12,442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,570.29 : 22,866.75 = 9,016.70 : x
  2. Step 2: Convert to fraction form
    16,570.29/22,866.75 = 9,016.70/x
  3. Step 3: Cross multiply
    16,570.29x = 22,866.75 × 9,016.70
  4. Step 4: Simplify right side
    16,570.29x = 206,182,510.39
  5. Step 5: Solve for x
    x = 206,182,510.39/16,570.29
  6. Step 6: Final answer
    x = 12,442.90

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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.