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Finding the Fourth Proportional to 17,686.44, 24,407.64 and 9,729.09

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Solution

The fourth proportional to 17,686.44, 24,407.64 and 9,729.09 is: 13,426.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686.44 : 24,407.64 = 9,729.09 : x
  2. Step 2: Convert to fraction form
    17,686.44/24,407.64 = 9,729.09/x
  3. Step 3: Cross multiply
    17,686.44x = 24,407.64 × 9,729.09
  4. Step 4: Simplify right side
    17,686.44x = 237,464,126.25
  5. Step 5: Solve for x
    x = 237,464,126.25/17,686.44
  6. Step 6: Final answer
    x = 13,426.34

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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.