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Finding the Fourth Proportional to 30,400.64, 41,941.60 and 17,820.80

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Solution

The fourth proportional to 30,400.64, 41,941.60 and 17,820.80 is: 24,586.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,400.64 : 41,941.60 = 17,820.80 : x
  2. Step 2: Convert to fraction form
    30,400.64/41,941.60 = 17,820.80/x
  3. Step 3: Cross multiply
    30,400.64x = 41,941.60 × 17,820.80
  4. Step 4: Simplify right side
    30,400.64x = 747,432,865.28
  5. Step 5: Solve for x
    x = 747,432,865.28/30,400.64
  6. Step 6: Final answer
    x = 24,586.09

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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.