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Finding the Fourth Proportional to 13,209.60, 19,814.40 and 13,015.20

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Solution

The fourth proportional to 13,209.60, 19,814.40 and 13,015.20 is: 19,522.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.60 : 19,814.40 = 13,015.20 : x
  2. Step 2: Convert to fraction form
    13,209.60/19,814.40 = 13,015.20/x
  3. Step 3: Cross multiply
    13,209.60x = 19,814.40 × 13,015.20
  4. Step 4: Simplify right side
    13,209.60x = 257,888,378.88
  5. Step 5: Solve for x
    x = 257,888,378.88/13,209.60
  6. Step 6: Final answer
    x = 19,522.80

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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.