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Finding the Fourth Proportional to 23,809.20, 32,858.64 and 13,201.98

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Solution

The fourth proportional to 23,809.20, 32,858.64 and 13,201.98 is: 18,219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.20 : 32,858.64 = 13,201.98 : x
  2. Step 2: Convert to fraction form
    23,809.20/32,858.64 = 13,201.98/x
  3. Step 3: Cross multiply
    23,809.20x = 32,858.64 × 13,201.98
  4. Step 4: Simplify right side
    23,809.20x = 433,799,108.11
  5. Step 5: Solve for x
    x = 433,799,108.11/23,809.20
  6. Step 6: Final answer
    x = 18,219.81

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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.