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Finding the Fourth Proportional to 16,537.84, 22,796.94 and 10,152.64

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Solution

The fourth proportional to 16,537.84, 22,796.94 and 10,152.64 is: 13,995.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.84 : 22,796.94 = 10,152.64 : x
  2. Step 2: Convert to fraction form
    16,537.84/22,796.94 = 10,152.64/x
  3. Step 3: Cross multiply
    16,537.84x = 22,796.94 × 10,152.64
  4. Step 4: Simplify right side
    16,537.84x = 231,449,124.92
  5. Step 5: Solve for x
    x = 231,449,124.92/16,537.84
  6. Step 6: Final answer
    x = 13,995.12

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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.