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Finding the Fourth Proportional to 13,636.20, 20,459.10 and 13,156.20

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Solution

The fourth proportional to 13,636.20, 20,459.10 and 13,156.20 is: 19,738.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,636.20 : 20,459.10 = 13,156.20 : x
  2. Step 2: Convert to fraction form
    13,636.20/20,459.10 = 13,156.20/x
  3. Step 3: Cross multiply
    13,636.20x = 20,459.10 × 13,156.20
  4. Step 4: Simplify right side
    13,636.20x = 269,164,011.42
  5. Step 5: Solve for x
    x = 269,164,011.42/13,636.20
  6. Step 6: Final answer
    x = 19,738.93

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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.