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Finding the Fourth Proportional to 17,659.26, 24,369.79 and 9,702.00

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Solution

The fourth proportional to 17,659.26, 24,369.79 and 9,702.00 is: 13,388.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,659.26 : 24,369.79 = 9,702.00 : x
  2. Step 2: Convert to fraction form
    17,659.26/24,369.79 = 9,702.00/x
  3. Step 3: Cross multiply
    17,659.26x = 24,369.79 × 9,702.00
  4. Step 4: Simplify right side
    17,659.26x = 236,435,632.63
  5. Step 5: Solve for x
    x = 236,435,632.63/17,659.26
  6. Step 6: Final answer
    x = 13,388.76

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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.