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Finding the Fourth Proportional to 42,451, 63,676.50 and 13,267

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Solution

The fourth proportional to 42,451, 63,676.50 and 13,267 is: 19,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,451 : 63,676.50 = 13,267 : x
  2. Step 2: Convert to fraction form
    42,451/63,676.50 = 13,267/x
  3. Step 3: Cross multiply
    42,451x = 63,676.50 × 13,267
  4. Step 4: Simplify right side
    42,451x = 844,796,125.50
  5. Step 5: Solve for x
    x = 844,796,125.50/42,451
  6. Step 6: Final answer
    x = 19,900.50

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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.