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Finding the Fourth Proportional to 17,742.21, 24,485.45 and 10,290.21

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Solution

The fourth proportional to 17,742.21, 24,485.45 and 10,290.21 is: 14,201.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742.21 : 24,485.45 = 10,290.21 : x
  2. Step 2: Convert to fraction form
    17,742.21/24,485.45 = 10,290.21/x
  3. Step 3: Cross multiply
    17,742.21x = 24,485.45 × 10,290.21
  4. Step 4: Simplify right side
    17,742.21x = 251,960,422.44
  5. Step 5: Solve for x
    x = 251,960,422.44/17,742.21
  6. Step 6: Final answer
    x = 14,201.19

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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.