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Finding the Fourth Proportional to 23,970.50, 35,938.03 and 8,171.35

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Solution

The fourth proportional to 23,970.50, 35,938.03 and 8,171.35 is: 12,250.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,970.50 : 35,938.03 = 8,171.35 : x
  2. Step 2: Convert to fraction form
    23,970.50/35,938.03 = 8,171.35/x
  3. Step 3: Cross multiply
    23,970.50x = 35,938.03 × 8,171.35
  4. Step 4: Simplify right side
    23,970.50x = 293,662,126.49
  5. Step 5: Solve for x
    x = 293,662,126.49/23,970.50
  6. Step 6: Final answer
    x = 12,250.98

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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.