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Finding the Fourth Proportional to 38,632.68, 57,954.42 and 12,328.47

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Solution

The fourth proportional to 38,632.68, 57,954.42 and 12,328.47 is: 18,494.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,632.68 : 57,954.42 = 12,328.47 : x
  2. Step 2: Convert to fraction form
    38,632.68/57,954.42 = 12,328.47/x
  3. Step 3: Cross multiply
    38,632.68x = 57,954.42 × 12,328.47
  4. Step 4: Simplify right side
    38,632.68x = 714,489,328.34
  5. Step 5: Solve for x
    x = 714,489,328.34/38,632.68
  6. Step 6: Final answer
    x = 18,494.43

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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.