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Finding the Fourth Proportional to 16,965.17, 23,411.77 and 9,411.51

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Solution

The fourth proportional to 16,965.17, 23,411.77 and 9,411.51 is: 12,987.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,965.17 : 23,411.77 = 9,411.51 : x
  2. Step 2: Convert to fraction form
    16,965.17/23,411.77 = 9,411.51/x
  3. Step 3: Cross multiply
    16,965.17x = 23,411.77 × 9,411.51
  4. Step 4: Simplify right side
    16,965.17x = 220,340,083.94
  5. Step 5: Solve for x
    x = 220,340,083.94/16,965.17
  6. Step 6: Final answer
    x = 12,987.79

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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.