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Finding the Fourth Proportional to 16,689.69, 23,032.88 and 9,616.57

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Solution

The fourth proportional to 16,689.69, 23,032.88 and 9,616.57 is: 13,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,689.69 : 23,032.88 = 9,616.57 : x
  2. Step 2: Convert to fraction form
    16,689.69/23,032.88 = 9,616.57/x
  3. Step 3: Cross multiply
    16,689.69x = 23,032.88 × 9,616.57
  4. Step 4: Simplify right side
    16,689.69x = 221,497,269.28
  5. Step 5: Solve for x
    x = 221,497,269.28/16,689.69
  6. Step 6: Final answer
    x = 13,271.50

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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.