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Finding the Fourth Proportional to 16,938.62, 23,375.24 and 9,768.50

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Solution

The fourth proportional to 16,938.62, 23,375.24 and 9,768.50 is: 13,480.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,938.62 : 23,375.24 = 9,768.50 : x
  2. Step 2: Convert to fraction form
    16,938.62/23,375.24 = 9,768.50/x
  3. Step 3: Cross multiply
    16,938.62x = 23,375.24 × 9,768.50
  4. Step 4: Simplify right side
    16,938.62x = 228,341,031.94
  5. Step 5: Solve for x
    x = 228,341,031.94/16,938.62
  6. Step 6: Final answer
    x = 13,480.50

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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.