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Finding the Fourth Proportional to 38,477.90, 57,716.22 and 12,182.60

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Solution

The fourth proportional to 38,477.90, 57,716.22 and 12,182.60 is: 18,273.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,477.90 : 57,716.22 = 12,182.60 : x
  2. Step 2: Convert to fraction form
    38,477.90/57,716.22 = 12,182.60/x
  3. Step 3: Cross multiply
    38,477.90x = 57,716.22 × 12,182.60
  4. Step 4: Simplify right side
    38,477.90x = 703,133,621.77
  5. Step 5: Solve for x
    x = 703,133,621.77/38,477.90
  6. Step 6: Final answer
    x = 18,273.70

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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.