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Finding the Fourth Proportional to 16,689.94, 23,033.22 and 9,616.81

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Solution

The fourth proportional to 16,689.94, 23,033.22 and 9,616.81 is: 13,271.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,689.94 : 23,033.22 = 9,616.81 : x
  2. Step 2: Convert to fraction form
    16,689.94/23,033.22 = 9,616.81/x
  3. Step 3: Cross multiply
    16,689.94x = 23,033.22 × 9,616.81
  4. Step 4: Simplify right side
    16,689.94x = 221,506,100.43
  5. Step 5: Solve for x
    x = 221,506,100.43/16,689.94
  6. Step 6: Final answer
    x = 13,271.83

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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.