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Finding the Fourth Proportional to 17,534.97, 24,198.80 and 10,820.88

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Solution

The fourth proportional to 17,534.97, 24,198.80 and 10,820.88 is: 14,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.97 : 24,198.80 = 10,820.88 : x
  2. Step 2: Convert to fraction form
    17,534.97/24,198.80 = 10,820.88/x
  3. Step 3: Cross multiply
    17,534.97x = 24,198.80 × 10,820.88
  4. Step 4: Simplify right side
    17,534.97x = 261,852,256.84
  5. Step 5: Solve for x
    x = 261,852,256.84/17,534.97
  6. Step 6: Final answer
    x = 14,933.15

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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.