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Finding the Fourth Proportional to 16,923.40, 25,401.50 and 8,164.46

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Solution

The fourth proportional to 16,923.40, 25,401.50 and 8,164.46 is: 12,254.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,923.40 : 25,401.50 = 8,164.46 : x
  2. Step 2: Convert to fraction form
    16,923.40/25,401.50 = 8,164.46/x
  3. Step 3: Cross multiply
    16,923.40x = 25,401.50 × 8,164.46
  4. Step 4: Simplify right side
    16,923.40x = 207,389,489.87
  5. Step 5: Solve for x
    x = 207,389,489.87/16,923.40
  6. Step 6: Final answer
    x = 12,254.60

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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.