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Finding the Fourth Proportional to 21,716.51, 29,970.20 and 12,157.29

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Solution

The fourth proportional to 21,716.51, 29,970.20 and 12,157.29 is: 16,777.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,716.51 : 29,970.20 = 12,157.29 : x
  2. Step 2: Convert to fraction form
    21,716.51/29,970.20 = 12,157.29/x
  3. Step 3: Cross multiply
    21,716.51x = 29,970.20 × 12,157.29
  4. Step 4: Simplify right side
    21,716.51x = 364,356,443.15
  5. Step 5: Solve for x
    x = 364,356,443.15/21,716.51
  6. Step 6: Final answer
    x = 16,777.86

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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.