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Finding the Fourth Proportional to 17,782.17, 24,538.44 and 10,227.30

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Solution

The fourth proportional to 17,782.17, 24,538.44 and 10,227.30 is: 14,113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.17 : 24,538.44 = 10,227.30 : x
  2. Step 2: Convert to fraction form
    17,782.17/24,538.44 = 10,227.30/x
  3. Step 3: Cross multiply
    17,782.17x = 24,538.44 × 10,227.30
  4. Step 4: Simplify right side
    17,782.17x = 250,961,987.41
  5. Step 5: Solve for x
    x = 250,961,987.41/17,782.17
  6. Step 6: Final answer
    x = 14,113.12

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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.