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Finding the Fourth Proportional to 16,546.80, 24,820.20 and 13,266.30

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Solution

The fourth proportional to 16,546.80, 24,820.20 and 13,266.30 is: 19,899.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.80 : 24,820.20 = 13,266.30 : x
  2. Step 2: Convert to fraction form
    16,546.80/24,820.20 = 13,266.30/x
  3. Step 3: Cross multiply
    16,546.80x = 24,820.20 × 13,266.30
  4. Step 4: Simplify right side
    16,546.80x = 329,272,219.26
  5. Step 5: Solve for x
    x = 329,272,219.26/16,546.80
  6. Step 6: Final answer
    x = 19,899.45

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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.