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Finding the Fourth Proportional to 38,389.40, 57,580.32 and 13,424.84

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Solution

The fourth proportional to 38,389.40, 57,580.32 and 13,424.84 is: 20,135.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,389.40 : 57,580.32 = 13,424.84 : x
  2. Step 2: Convert to fraction form
    38,389.40/57,580.32 = 13,424.84/x
  3. Step 3: Cross multiply
    38,389.40x = 57,580.32 × 13,424.84
  4. Step 4: Simplify right side
    38,389.40x = 773,006,583.15
  5. Step 5: Solve for x
    x = 773,006,583.15/38,389.40
  6. Step 6: Final answer
    x = 20,135.94

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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.