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Finding the Fourth Proportional to 23,832.77, 35,755.22 and 13,980.74

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Solution

The fourth proportional to 23,832.77, 35,755.22 and 13,980.74 is: 20,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,832.77 : 35,755.22 = 13,980.74 : x
  2. Step 2: Convert to fraction form
    23,832.77/35,755.22 = 13,980.74/x
  3. Step 3: Cross multiply
    23,832.77x = 35,755.22 × 13,980.74
  4. Step 4: Simplify right side
    23,832.77x = 499,884,290.64
  5. Step 5: Solve for x
    x = 499,884,290.64/23,832.77
  6. Step 6: Final answer
    x = 20,974.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.