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Finding the Fourth Proportional to 12,920.87, 17,821.49 and 11,862

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Solution

The fourth proportional to 12,920.87, 17,821.49 and 11,862 is: 16,361.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.87 : 17,821.49 = 11,862 : x
  2. Step 2: Convert to fraction form
    12,920.87/17,821.49 = 11,862/x
  3. Step 3: Cross multiply
    12,920.87x = 17,821.49 × 11,862
  4. Step 4: Simplify right side
    12,920.87x = 211,398,455.07
  5. Step 5: Solve for x
    x = 211,398,455.07/12,920.87
  6. Step 6: Final answer
    x = 16,361.00

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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.