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Finding the Fourth Proportional to 17,687.19, 24,407.73 and 9,729.35

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Solution

The fourth proportional to 17,687.19, 24,407.73 and 9,729.35 is: 13,426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.19 : 24,407.73 = 9,729.35 : x
  2. Step 2: Convert to fraction form
    17,687.19/24,407.73 = 9,729.35/x
  3. Step 3: Cross multiply
    17,687.19x = 24,407.73 × 9,729.35
  4. Step 4: Simplify right side
    17,687.19x = 237,471,317.37
  5. Step 5: Solve for x
    x = 237,471,317.37/17,687.19
  6. Step 6: Final answer
    x = 13,426.17

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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.