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Finding the Fourth Proportional to 38,311.36, 57,468 and 10,609.60

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Solution

The fourth proportional to 38,311.36, 57,468 and 10,609.60 is: 15,914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,311.36 : 57,468 = 10,609.60 : x
  2. Step 2: Convert to fraction form
    38,311.36/57,468 = 10,609.60/x
  3. Step 3: Cross multiply
    38,311.36x = 57,468 × 10,609.60
  4. Step 4: Simplify right side
    38,311.36x = 609,712,492.80
  5. Step 5: Solve for x
    x = 609,712,492.80/38,311.36
  6. Step 6: Final answer
    x = 15,914.67

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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.