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Finding the Fourth Proportional to 16,498.54, 22,771.14 and 12,906.34

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Solution

The fourth proportional to 16,498.54, 22,771.14 and 12,906.34 is: 17,813.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498.54 : 22,771.14 = 12,906.34 : x
  2. Step 2: Convert to fraction form
    16,498.54/22,771.14 = 12,906.34/x
  3. Step 3: Cross multiply
    16,498.54x = 22,771.14 × 12,906.34
  4. Step 4: Simplify right side
    16,498.54x = 293,892,075.03
  5. Step 5: Solve for x
    x = 293,892,075.03/16,498.54
  6. Step 6: Final answer
    x = 17,813.22

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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.