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Finding the Fourth Proportional to 21,577.64, 29,762.34 and 13,198.28

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Solution

The fourth proportional to 21,577.64, 29,762.34 and 13,198.28 is: 18,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,577.64 : 29,762.34 = 13,198.28 : x
  2. Step 2: Convert to fraction form
    21,577.64/29,762.34 = 13,198.28/x
  3. Step 3: Cross multiply
    21,577.64x = 29,762.34 × 13,198.28
  4. Step 4: Simplify right side
    21,577.64x = 392,811,696.78
  5. Step 5: Solve for x
    x = 392,811,696.78/21,577.64
  6. Step 6: Final answer
    x = 18,204.57

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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.