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Finding the Fourth Proportional to 16,793.16, 23,172 and 10,077.32

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Solution

The fourth proportional to 16,793.16, 23,172 and 10,077.32 is: 13,905.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,793.16 : 23,172 = 10,077.32 : x
  2. Step 2: Convert to fraction form
    16,793.16/23,172 = 10,077.32/x
  3. Step 3: Cross multiply
    16,793.16x = 23,172 × 10,077.32
  4. Step 4: Simplify right side
    16,793.16x = 233,511,659.04
  5. Step 5: Solve for x
    x = 233,511,659.04/16,793.16
  6. Step 6: Final answer
    x = 13,905.16

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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.