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Finding the Fourth Proportional to 23,901.89, 32,985.40 and 13,147.21

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Solution

The fourth proportional to 23,901.89, 32,985.40 and 13,147.21 is: 18,143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,901.89 : 32,985.40 = 13,147.21 : x
  2. Step 2: Convert to fraction form
    23,901.89/32,985.40 = 13,147.21/x
  3. Step 3: Cross multiply
    23,901.89x = 32,985.40 × 13,147.21
  4. Step 4: Simplify right side
    23,901.89x = 433,665,980.73
  5. Step 5: Solve for x
    x = 433,665,980.73/23,901.89
  6. Step 6: Final answer
    x = 18,143.59

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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.