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Finding the Fourth Proportional to 16,864.74, 23,274.09 and 9,696.98

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Solution

The fourth proportional to 16,864.74, 23,274.09 and 9,696.98 is: 13,382.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,864.74 : 23,274.09 = 9,696.98 : x
  2. Step 2: Convert to fraction form
    16,864.74/23,274.09 = 9,696.98/x
  3. Step 3: Cross multiply
    16,864.74x = 23,274.09 × 9,696.98
  4. Step 4: Simplify right side
    16,864.74x = 225,688,385.25
  5. Step 5: Solve for x
    x = 225,688,385.25/16,864.74
  6. Step 6: Final answer
    x = 13,382.26

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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.