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Finding the Fourth Proportional to 38,638.87, 57,984.30 and 13,678.84

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Solution

The fourth proportional to 38,638.87, 57,984.30 and 13,678.84 is: 20,527.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,638.87 : 57,984.30 = 13,678.84 : x
  2. Step 2: Convert to fraction form
    38,638.87/57,984.30 = 13,678.84/x
  3. Step 3: Cross multiply
    38,638.87x = 57,984.30 × 13,678.84
  4. Step 4: Simplify right side
    38,638.87x = 793,157,962.21
  5. Step 5: Solve for x
    x = 793,157,962.21/38,638.87
  6. Step 6: Final answer
    x = 20,527.46

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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.