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Finding the Fourth Proportional to 16,838.70, 25,270.20 and 9,435.30

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Solution

The fourth proportional to 16,838.70, 25,270.20 and 9,435.30 is: 14,159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,838.70 : 25,270.20 = 9,435.30 : x
  2. Step 2: Convert to fraction form
    16,838.70/25,270.20 = 9,435.30/x
  3. Step 3: Cross multiply
    16,838.70x = 25,270.20 × 9,435.30
  4. Step 4: Simplify right side
    16,838.70x = 238,431,918.06
  5. Step 5: Solve for x
    x = 238,431,918.06/16,838.70
  6. Step 6: Final answer
    x = 14,159.76

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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.