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Finding the Fourth Proportional to 38,357.26, 57,549.69 and 13,400.98

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Solution

The fourth proportional to 38,357.26, 57,549.69 and 13,400.98 is: 20,106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,357.26 : 57,549.69 = 13,400.98 : x
  2. Step 2: Convert to fraction form
    38,357.26/57,549.69 = 13,400.98/x
  3. Step 3: Cross multiply
    38,357.26x = 57,549.69 × 13,400.98
  4. Step 4: Simplify right side
    38,357.26x = 771,222,244.70
  5. Step 5: Solve for x
    x = 771,222,244.70/38,357.26
  6. Step 6: Final answer
    x = 20,106.29

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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.