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Finding the Fourth Proportional to 23,985.70, 35,958.02 and 9,205.22

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Solution

The fourth proportional to 23,985.70, 35,958.02 and 9,205.22 is: 13,799.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,985.70 : 35,958.02 = 9,205.22 : x
  2. Step 2: Convert to fraction form
    23,985.70/35,958.02 = 9,205.22/x
  3. Step 3: Cross multiply
    23,985.70x = 35,958.02 × 9,205.22
  4. Step 4: Simplify right side
    23,985.70x = 331,001,597.77
  5. Step 5: Solve for x
    x = 331,001,597.77/23,985.70
  6. Step 6: Final answer
    x = 13,799.96

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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.