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Finding the Fourth Proportional to 35,997.63, 53,989.16 and 9,696.23

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Solution

The fourth proportional to 35,997.63, 53,989.16 and 9,696.23 is: 14,542.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,997.63 : 53,989.16 = 9,696.23 : x
  2. Step 2: Convert to fraction form
    35,997.63/53,989.16 = 9,696.23/x
  3. Step 3: Cross multiply
    35,997.63x = 53,989.16 × 9,696.23
  4. Step 4: Simplify right side
    35,997.63x = 523,490,994.44
  5. Step 5: Solve for x
    x = 523,490,994.44/35,997.63
  6. Step 6: Final answer
    x = 14,542.37

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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.