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Finding the Fourth Proportional to 21,222.72, 29,278.80 and 12,824.64

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Solution

The fourth proportional to 21,222.72, 29,278.80 and 12,824.64 is: 17,692.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,222.72 : 29,278.80 = 12,824.64 : x
  2. Step 2: Convert to fraction form
    21,222.72/29,278.80 = 12,824.64/x
  3. Step 3: Cross multiply
    21,222.72x = 29,278.80 × 12,824.64
  4. Step 4: Simplify right side
    21,222.72x = 375,490,069.63
  5. Step 5: Solve for x
    x = 375,490,069.63/21,222.72
  6. Step 6: Final answer
    x = 17,692.83

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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.