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Finding the Fourth Proportional to 38,602.20, 57,860.10 and 16,411.80

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Solution

The fourth proportional to 38,602.20, 57,860.10 and 16,411.80 is: 24,599.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,602.20 : 57,860.10 = 16,411.80 : x
  2. Step 2: Convert to fraction form
    38,602.20/57,860.10 = 16,411.80/x
  3. Step 3: Cross multiply
    38,602.20x = 57,860.10 × 16,411.80
  4. Step 4: Simplify right side
    38,602.20x = 949,588,389.18
  5. Step 5: Solve for x
    x = 949,588,389.18/38,602.20
  6. Step 6: Final answer
    x = 24,599.33

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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.