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Finding the Fourth Proportional to 20,564.86, 30,812.18 and 11,188.14

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Solution

The fourth proportional to 20,564.86, 30,812.18 and 11,188.14 is: 16,763.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564.86 : 30,812.18 = 11,188.14 : x
  2. Step 2: Convert to fraction form
    20,564.86/30,812.18 = 11,188.14/x
  3. Step 3: Cross multiply
    20,564.86x = 30,812.18 × 11,188.14
  4. Step 4: Simplify right side
    20,564.86x = 344,730,983.55
  5. Step 5: Solve for x
    x = 344,730,983.55/20,564.86
  6. Step 6: Final answer
    x = 16,763.11

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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.