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Finding the Fourth Proportional to 13,708.20, 20,567.10 and 13,228.20

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Solution

The fourth proportional to 13,708.20, 20,567.10 and 13,228.20 is: 19,846.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.20 : 20,567.10 = 13,228.20 : x
  2. Step 2: Convert to fraction form
    13,708.20/20,567.10 = 13,228.20/x
  3. Step 3: Cross multiply
    13,708.20x = 20,567.10 × 13,228.20
  4. Step 4: Simplify right side
    13,708.20x = 272,065,712.22
  5. Step 5: Solve for x
    x = 272,065,712.22/13,708.20
  6. Step 6: Final answer
    x = 19,846.93

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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.