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Finding the Fourth Proportional to 16,486.02, 22,754.83 and 9,416.54

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Solution

The fourth proportional to 16,486.02, 22,754.83 and 9,416.54 is: 12,997.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,486.02 : 22,754.83 = 9,416.54 : x
  2. Step 2: Convert to fraction form
    16,486.02/22,754.83 = 9,416.54/x
  3. Step 3: Cross multiply
    16,486.02x = 22,754.83 × 9,416.54
  4. Step 4: Simplify right side
    16,486.02x = 214,271,766.89
  5. Step 5: Solve for x
    x = 214,271,766.89/16,486.02
  6. Step 6: Final answer
    x = 12,997.18

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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.