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Finding the Fourth Proportional to 20,492.40, 30,738.60 and 13,105.20

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Solution

The fourth proportional to 20,492.40, 30,738.60 and 13,105.20 is: 19,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,492.40 : 30,738.60 = 13,105.20 : x
  2. Step 2: Convert to fraction form
    20,492.40/30,738.60 = 13,105.20/x
  3. Step 3: Cross multiply
    20,492.40x = 30,738.60 × 13,105.20
  4. Step 4: Simplify right side
    20,492.40x = 402,835,500.72
  5. Step 5: Solve for x
    x = 402,835,500.72/20,492.40
  6. Step 6: Final answer
    x = 19,657.80

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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.