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Finding the Fourth Proportional to 16,790, 23,170.59 and 9,236.75

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Solution

The fourth proportional to 16,790, 23,170.59 and 9,236.75 is: 12,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,790 : 23,170.59 = 9,236.75 : x
  2. Step 2: Convert to fraction form
    16,790/23,170.59 = 9,236.75/x
  3. Step 3: Cross multiply
    16,790x = 23,170.59 × 9,236.75
  4. Step 4: Simplify right side
    16,790x = 214,020,947.18
  5. Step 5: Solve for x
    x = 214,020,947.18/16,790
  6. Step 6: Final answer
    x = 12,746.93

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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.