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Finding the Fourth Proportional to 38,744.50, 58,142.26 and 13,784.14

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Solution

The fourth proportional to 38,744.50, 58,142.26 and 13,784.14 is: 20,685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,744.50 : 58,142.26 = 13,784.14 : x
  2. Step 2: Convert to fraction form
    38,744.50/58,142.26 = 13,784.14/x
  3. Step 3: Cross multiply
    38,744.50x = 58,142.26 × 13,784.14
  4. Step 4: Simplify right side
    38,744.50x = 801,441,051.76
  5. Step 5: Solve for x
    x = 801,441,051.76/38,744.50
  6. Step 6: Final answer
    x = 20,685.29

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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.