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Finding the Fourth Proportional to 38,314.93, 57,464.50 and 14,617.15

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Solution

The fourth proportional to 38,314.93, 57,464.50 and 14,617.15 is: 21,922.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,314.93 : 57,464.50 = 14,617.15 : x
  2. Step 2: Convert to fraction form
    38,314.93/57,464.50 = 14,617.15/x
  3. Step 3: Cross multiply
    38,314.93x = 57,464.50 × 14,617.15
  4. Step 4: Simplify right side
    38,314.93x = 839,967,216.18
  5. Step 5: Solve for x
    x = 839,967,216.18/38,314.93
  6. Step 6: Final answer
    x = 21,922.71

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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.