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Finding the Fourth Proportional to 20,355.36, 30,492 and 10,193.10

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Solution

The fourth proportional to 20,355.36, 30,492 and 10,193.10 is: 15,269.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,355.36 : 30,492 = 10,193.10 : x
  2. Step 2: Convert to fraction form
    20,355.36/30,492 = 10,193.10/x
  3. Step 3: Cross multiply
    20,355.36x = 30,492 × 10,193.10
  4. Step 4: Simplify right side
    20,355.36x = 310,808,005.20
  5. Step 5: Solve for x
    x = 310,808,005.20/20,355.36
  6. Step 6: Final answer
    x = 15,269.10

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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.