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Finding the Fourth Proportional to 30,009.60, 41,415.76 and 17,433.60

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Solution

The fourth proportional to 30,009.60, 41,415.76 and 17,433.60 is: 24,059.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,009.60 : 41,415.76 = 17,433.60 : x
  2. Step 2: Convert to fraction form
    30,009.60/41,415.76 = 17,433.60/x
  3. Step 3: Cross multiply
    30,009.60x = 41,415.76 × 17,433.60
  4. Step 4: Simplify right side
    30,009.60x = 722,025,793.54
  5. Step 5: Solve for x
    x = 722,025,793.54/30,009.60
  6. Step 6: Final answer
    x = 24,059.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.