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Finding the Fourth Proportional to 20,165.47, 30,206.59 and 11,820.14

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Solution

The fourth proportional to 20,165.47, 30,206.59 and 11,820.14 is: 17,705.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.47 : 30,206.59 = 11,820.14 : x
  2. Step 2: Convert to fraction form
    20,165.47/30,206.59 = 11,820.14/x
  3. Step 3: Cross multiply
    20,165.47x = 30,206.59 × 11,820.14
  4. Step 4: Simplify right side
    20,165.47x = 357,046,168.69
  5. Step 5: Solve for x
    x = 357,046,168.69/20,165.47
  6. Step 6: Final answer
    x = 17,705.82

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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.