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Finding the Fourth Proportional to 16,759.71, 23,128.69 and 9,206.76

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Solution

The fourth proportional to 16,759.71, 23,128.69 and 9,206.76 is: 12,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,759.71 : 23,128.69 = 9,206.76 : x
  2. Step 2: Convert to fraction form
    16,759.71/23,128.69 = 9,206.76/x
  3. Step 3: Cross multiply
    16,759.71x = 23,128.69 × 9,206.76
  4. Step 4: Simplify right side
    16,759.71x = 212,940,378.92
  5. Step 5: Solve for x
    x = 212,940,378.92/16,759.71
  6. Step 6: Final answer
    x = 12,705.49

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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.