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Finding the Fourth Proportional to 38,642.95, 57,964.56 and 13,683.01

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Solution

The fourth proportional to 38,642.95, 57,964.56 and 13,683.01 is: 20,524.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,642.95 : 57,964.56 = 13,683.01 : x
  2. Step 2: Convert to fraction form
    38,642.95/57,964.56 = 13,683.01/x
  3. Step 3: Cross multiply
    38,642.95x = 57,964.56 × 13,683.01
  4. Step 4: Simplify right side
    38,642.95x = 793,129,654.13
  5. Step 5: Solve for x
    x = 793,129,654.13/38,642.95
  6. Step 6: Final answer
    x = 20,524.56

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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.