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Finding the Fourth Proportional to 16,965.23, 23,411.41 and 9,411.89

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Solution

The fourth proportional to 16,965.23, 23,411.41 and 9,411.89 is: 12,988.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,965.23 : 23,411.41 = 9,411.89 : x
  2. Step 2: Convert to fraction form
    16,965.23/23,411.41 = 9,411.89/x
  3. Step 3: Cross multiply
    16,965.23x = 23,411.41 × 9,411.89
  4. Step 4: Simplify right side
    16,965.23x = 220,345,650.66
  5. Step 5: Solve for x
    x = 220,345,650.66/16,965.23
  6. Step 6: Final answer
    x = 12,988.07

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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.