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Finding the Fourth Proportional to 21,770.64, 29,997.18 and 14,684.76

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Solution

The fourth proportional to 21,770.64, 29,997.18 and 14,684.76 is: 20,233.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,770.64 : 29,997.18 = 14,684.76 : x
  2. Step 2: Convert to fraction form
    21,770.64/29,997.18 = 14,684.76/x
  3. Step 3: Cross multiply
    21,770.64x = 29,997.18 × 14,684.76
  4. Step 4: Simplify right side
    21,770.64x = 440,501,388.98
  5. Step 5: Solve for x
    x = 440,501,388.98/21,770.64
  6. Step 6: Final answer
    x = 20,233.74

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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.