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Finding the Fourth Proportional to 20,705.10, 31,057.65 and 12,410.70

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Solution

The fourth proportional to 20,705.10, 31,057.65 and 12,410.70 is: 18,616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.10 : 31,057.65 = 12,410.70 : x
  2. Step 2: Convert to fraction form
    20,705.10/31,057.65 = 12,410.70/x
  3. Step 3: Cross multiply
    20,705.10x = 31,057.65 × 12,410.70
  4. Step 4: Simplify right side
    20,705.10x = 385,447,176.86
  5. Step 5: Solve for x
    x = 385,447,176.86/20,705.10
  6. Step 6: Final answer
    x = 18,616.05

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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.