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Finding the Fourth Proportional to 38,597.40, 57,898.80 and 16,408.26

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Solution

The fourth proportional to 38,597.40, 57,898.80 and 16,408.26 is: 24,613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,597.40 : 57,898.80 = 16,408.26 : x
  2. Step 2: Convert to fraction form
    38,597.40/57,898.80 = 16,408.26/x
  3. Step 3: Cross multiply
    38,597.40x = 57,898.80 × 16,408.26
  4. Step 4: Simplify right side
    38,597.40x = 950,018,564.09
  5. Step 5: Solve for x
    x = 950,018,564.09/38,597.40
  6. Step 6: Final answer
    x = 24,613.54

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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.