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Finding the Fourth Proportional to 17,701.36, 24,427.68 and 9,743.41

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Solution

The fourth proportional to 17,701.36, 24,427.68 and 9,743.41 is: 13,445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,701.36 : 24,427.68 = 9,743.41 : x
  2. Step 2: Convert to fraction form
    17,701.36/24,427.68 = 9,743.41/x
  3. Step 3: Cross multiply
    17,701.36x = 24,427.68 × 9,743.41
  4. Step 4: Simplify right side
    17,701.36x = 238,008,901.59
  5. Step 5: Solve for x
    x = 238,008,901.59/17,701.36
  6. Step 6: Final answer
    x = 13,445.80

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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.