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Finding the Fourth Proportional to 16,912.50, 23,339.31 and 9,460.50

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Solution

The fourth proportional to 16,912.50, 23,339.31 and 9,460.50 is: 13,055.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,912.50 : 23,339.31 = 9,460.50 : x
  2. Step 2: Convert to fraction form
    16,912.50/23,339.31 = 9,460.50/x
  3. Step 3: Cross multiply
    16,912.50x = 23,339.31 × 9,460.50
  4. Step 4: Simplify right side
    16,912.50x = 220,801,542.26
  5. Step 5: Solve for x
    x = 220,801,542.26/16,912.50
  6. Step 6: Final answer
    x = 13,055.52

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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.