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Finding the Fourth Proportional to 13,287.40, 19,902.30 and 11,828.20

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Solution

The fourth proportional to 13,287.40, 19,902.30 and 11,828.20 is: 17,716.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,287.40 : 19,902.30 = 11,828.20 : x
  2. Step 2: Convert to fraction form
    13,287.40/19,902.30 = 11,828.20/x
  3. Step 3: Cross multiply
    13,287.40x = 19,902.30 × 11,828.20
  4. Step 4: Simplify right side
    13,287.40x = 235,408,384.86
  5. Step 5: Solve for x
    x = 235,408,384.86/13,287.40
  6. Step 6: Final answer
    x = 17,716.66

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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.