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Finding the Fourth Proportional to 15,946.34, 23,918.54 and 5,949.14

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Solution

The fourth proportional to 15,946.34, 23,918.54 and 5,949.14 is: 8,923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,946.34 : 23,918.54 = 5,949.14 : x
  2. Step 2: Convert to fraction form
    15,946.34/23,918.54 = 5,949.14/x
  3. Step 3: Cross multiply
    15,946.34x = 23,918.54 × 5,949.14
  4. Step 4: Simplify right side
    15,946.34x = 142,294,593.72
  5. Step 5: Solve for x
    x = 142,294,593.72/15,946.34
  6. Step 6: Final answer
    x = 8,923.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.