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Finding the Fourth Proportional to 16,727.76, 23,084.34 and 9,275.76

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Solution

The fourth proportional to 16,727.76, 23,084.34 and 9,275.76 is: 12,800.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,727.76 : 23,084.34 = 9,275.76 : x
  2. Step 2: Convert to fraction form
    16,727.76/23,084.34 = 9,275.76/x
  3. Step 3: Cross multiply
    16,727.76x = 23,084.34 × 9,275.76
  4. Step 4: Simplify right side
    16,727.76x = 214,124,797.60
  5. Step 5: Solve for x
    x = 214,124,797.60/16,727.76
  6. Step 6: Final answer
    x = 12,800.57

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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.