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Finding the Fourth Proportional to 13,213.60, 19,820.40 and 13,019.20

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Solution

The fourth proportional to 13,213.60, 19,820.40 and 13,019.20 is: 19,528.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.60 : 19,820.40 = 13,019.20 : x
  2. Step 2: Convert to fraction form
    13,213.60/19,820.40 = 13,019.20/x
  3. Step 3: Cross multiply
    13,213.60x = 19,820.40 × 13,019.20
  4. Step 4: Simplify right side
    13,213.60x = 258,045,751.68
  5. Step 5: Solve for x
    x = 258,045,751.68/13,213.60
  6. Step 6: Final answer
    x = 19,528.80

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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.