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Finding the Fourth Proportional to 38,602.20, 57,898.44 and 12,309.60

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Solution

The fourth proportional to 38,602.20, 57,898.44 and 12,309.60 is: 18,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,602.20 : 57,898.44 = 12,309.60 : x
  2. Step 2: Convert to fraction form
    38,602.20/57,898.44 = 12,309.60/x
  3. Step 3: Cross multiply
    38,602.20x = 57,898.44 × 12,309.60
  4. Step 4: Simplify right side
    38,602.20x = 712,706,637.02
  5. Step 5: Solve for x
    x = 712,706,637.02/38,602.20
  6. Step 6: Final answer
    x = 18,462.85

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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.