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Finding the Fourth Proportional to 16,965, 23,409.24 and 9,411.36

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Solution

The fourth proportional to 16,965, 23,409.24 and 9,411.36 is: 12,986.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,965 : 23,409.24 = 9,411.36 : x
  2. Step 2: Convert to fraction form
    16,965/23,409.24 = 9,411.36/x
  3. Step 3: Cross multiply
    16,965x = 23,409.24 × 9,411.36
  4. Step 4: Simplify right side
    16,965x = 220,312,784.97
  5. Step 5: Solve for x
    x = 220,312,784.97/16,965
  6. Step 6: Final answer
    x = 12,986.31

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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.