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Finding the Fourth Proportional to 16,828.93, 23,224.09 and 9,275.54

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Solution

The fourth proportional to 16,828.93, 23,224.09 and 9,275.54 is: 12,800.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,828.93 : 23,224.09 = 9,275.54 : x
  2. Step 2: Convert to fraction form
    16,828.93/23,224.09 = 9,275.54/x
  3. Step 3: Cross multiply
    16,828.93x = 23,224.09 × 9,275.54
  4. Step 4: Simplify right side
    16,828.93x = 215,415,975.76
  5. Step 5: Solve for x
    x = 215,415,975.76/16,828.93
  6. Step 6: Final answer
    x = 12,800.34

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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.