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Finding the Fourth Proportional to 38,566.50, 57,854.34 and 13,601.37

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Solution

The fourth proportional to 38,566.50, 57,854.34 and 13,601.37 is: 20,403.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,566.50 : 57,854.34 = 13,601.37 : x
  2. Step 2: Convert to fraction form
    38,566.50/57,854.34 = 13,601.37/x
  3. Step 3: Cross multiply
    38,566.50x = 57,854.34 × 13,601.37
  4. Step 4: Simplify right side
    38,566.50x = 786,898,284.45
  5. Step 5: Solve for x
    x = 786,898,284.45/38,566.50
  6. Step 6: Final answer
    x = 20,403.67

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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.