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Finding the Fourth Proportional to 26,534.82, 36,597.63 and 16,469.22

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Solution

The fourth proportional to 26,534.82, 36,597.63 and 16,469.22 is: 22,714.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,534.82 : 36,597.63 = 16,469.22 : x
  2. Step 2: Convert to fraction form
    26,534.82/36,597.63 = 16,469.22/x
  3. Step 3: Cross multiply
    26,534.82x = 36,597.63 × 16,469.22
  4. Step 4: Simplify right side
    26,534.82x = 602,734,419.95
  5. Step 5: Solve for x
    x = 602,734,419.95/26,534.82
  6. Step 6: Final answer
    x = 22,714.85

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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.