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Finding the Fourth Proportional to 16,841.70, 25,274.70 and 9,438.30

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Solution

The fourth proportional to 16,841.70, 25,274.70 and 9,438.30 is: 14,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,841.70 : 25,274.70 = 9,438.30 : x
  2. Step 2: Convert to fraction form
    16,841.70/25,274.70 = 9,438.30/x
  3. Step 3: Cross multiply
    16,841.70x = 25,274.70 × 9,438.30
  4. Step 4: Simplify right side
    16,841.70x = 238,550,201.01
  5. Step 5: Solve for x
    x = 238,550,201.01/16,841.70
  6. Step 6: Final answer
    x = 14,164.26

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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.