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Finding the Fourth Proportional to 23,028.32, 31,780.32 and 12,820.40

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Solution

The fourth proportional to 23,028.32, 31,780.32 and 12,820.40 is: 17,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,028.32 : 31,780.32 = 12,820.40 : x
  2. Step 2: Convert to fraction form
    23,028.32/31,780.32 = 12,820.40/x
  3. Step 3: Cross multiply
    23,028.32x = 31,780.32 × 12,820.40
  4. Step 4: Simplify right side
    23,028.32x = 407,436,414.53
  5. Step 5: Solve for x
    x = 407,436,414.53/23,028.32
  6. Step 6: Final answer
    x = 17,692.84

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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.