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Finding the Fourth Proportional to 20,019.60, 29,971.80 and 12,243.60

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Solution

The fourth proportional to 20,019.60, 29,971.80 and 12,243.60 is: 18,330.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,019.60 : 29,971.80 = 12,243.60 : x
  2. Step 2: Convert to fraction form
    20,019.60/29,971.80 = 12,243.60/x
  3. Step 3: Cross multiply
    20,019.60x = 29,971.80 × 12,243.60
  4. Step 4: Simplify right side
    20,019.60x = 366,962,730.48
  5. Step 5: Solve for x
    x = 366,962,730.48/20,019.60
  6. Step 6: Final answer
    x = 18,330.17

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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.