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Finding the Fourth Proportional to 38,565.27, 57,842.07 and 13,268.63

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Solution

The fourth proportional to 38,565.27, 57,842.07 and 13,268.63 is: 19,900.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,565.27 : 57,842.07 = 13,268.63 : x
  2. Step 2: Convert to fraction form
    38,565.27/57,842.07 = 13,268.63/x
  3. Step 3: Cross multiply
    38,565.27x = 57,842.07 × 13,268.63
  4. Step 4: Simplify right side
    38,565.27x = 767,484,958.92
  5. Step 5: Solve for x
    x = 767,484,958.92/38,565.27
  6. Step 6: Final answer
    x = 19,900.94

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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.