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Finding the Fourth Proportional to 16,677.54, 23,023.38 and 12,892.18

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Solution

The fourth proportional to 16,677.54, 23,023.38 and 12,892.18 is: 17,797.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,677.54 : 23,023.38 = 12,892.18 : x
  2. Step 2: Convert to fraction form
    16,677.54/23,023.38 = 12,892.18/x
  3. Step 3: Cross multiply
    16,677.54x = 23,023.38 × 12,892.18
  4. Step 4: Simplify right side
    16,677.54x = 296,821,559.17
  5. Step 5: Solve for x
    x = 296,821,559.17/16,677.54
  6. Step 6: Final answer
    x = 17,797.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.