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Finding the Fourth Proportional to 16,801.92, 23,186.16 and 10,091.52

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Solution

The fourth proportional to 16,801.92, 23,186.16 and 10,091.52 is: 13,926.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,801.92 : 23,186.16 = 10,091.52 : x
  2. Step 2: Convert to fraction form
    16,801.92/23,186.16 = 10,091.52/x
  3. Step 3: Cross multiply
    16,801.92x = 23,186.16 × 10,091.52
  4. Step 4: Simplify right side
    16,801.92x = 233,983,597.36
  5. Step 5: Solve for x
    x = 233,983,597.36/16,801.92
  6. Step 6: Final answer
    x = 13,926.00

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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.