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Finding the Fourth Proportional to 12,186.02, 16,816.46 and 7,994

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Solution

The fourth proportional to 12,186.02, 16,816.46 and 7,994 is: 11,031.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.02 : 16,816.46 = 7,994 : x
  2. Step 2: Convert to fraction form
    12,186.02/16,816.46 = 7,994/x
  3. Step 3: Cross multiply
    12,186.02x = 16,816.46 × 7,994
  4. Step 4: Simplify right side
    12,186.02x = 134,430,781.24
  5. Step 5: Solve for x
    x = 134,430,781.24/12,186.02
  6. Step 6: Final answer
    x = 11,031.56

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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.