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Finding the Fourth Proportional to 16,999.47, 23,458.46 and 9,446.31

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Solution

The fourth proportional to 16,999.47, 23,458.46 and 9,446.31 is: 13,035.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,999.47 : 23,458.46 = 9,446.31 : x
  2. Step 2: Convert to fraction form
    16,999.47/23,458.46 = 9,446.31/x
  3. Step 3: Cross multiply
    16,999.47x = 23,458.46 × 9,446.31
  4. Step 4: Simplify right side
    16,999.47x = 221,595,838.05
  5. Step 5: Solve for x
    x = 221,595,838.05/16,999.47
  6. Step 6: Final answer
    x = 13,035.46

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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.