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Finding the Fourth Proportional to 38,523.66, 57,740.94 and 16,303.74

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Solution

The fourth proportional to 38,523.66, 57,740.94 and 16,303.74 is: 24,436.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,523.66 : 57,740.94 = 16,303.74 : x
  2. Step 2: Convert to fraction form
    38,523.66/57,740.94 = 16,303.74/x
  3. Step 3: Cross multiply
    38,523.66x = 57,740.94 × 16,303.74
  4. Step 4: Simplify right side
    38,523.66x = 941,393,273.12
  5. Step 5: Solve for x
    x = 941,393,273.12/38,523.66
  6. Step 6: Final answer
    x = 24,436.76

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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.