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Finding the Fourth Proportional to 23,082.74, 31,847.10 and 14,120.90

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Solution

The fourth proportional to 23,082.74, 31,847.10 and 14,120.90 is: 19,482.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,082.74 : 31,847.10 = 14,120.90 : x
  2. Step 2: Convert to fraction form
    23,082.74/31,847.10 = 14,120.90/x
  3. Step 3: Cross multiply
    23,082.74x = 31,847.10 × 14,120.90
  4. Step 4: Simplify right side
    23,082.74x = 449,709,714.39
  5. Step 5: Solve for x
    x = 449,709,714.39/23,082.74
  6. Step 6: Final answer
    x = 19,482.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.