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Finding the Fourth Proportional to 13,154.40, 19,729.20 and 8,215.20

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Solution

The fourth proportional to 13,154.40, 19,729.20 and 8,215.20 is: 12,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,154.40 : 19,729.20 = 8,215.20 : x
  2. Step 2: Convert to fraction form
    13,154.40/19,729.20 = 8,215.20/x
  3. Step 3: Cross multiply
    13,154.40x = 19,729.20 × 8,215.20
  4. Step 4: Simplify right side
    13,154.40x = 162,079,323.84
  5. Step 5: Solve for x
    x = 162,079,323.84/13,154.40
  6. Step 6: Final answer
    x = 12,321.30

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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.