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Finding the Fourth Proportional to 17,659.25, 24,369.69 and 9,592.86

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Solution

The fourth proportional to 17,659.25, 24,369.69 and 9,592.86 is: 13,238.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,659.25 : 24,369.69 = 9,592.86 : x
  2. Step 2: Convert to fraction form
    17,659.25/24,369.69 = 9,592.86/x
  3. Step 3: Cross multiply
    17,659.25x = 24,369.69 × 9,592.86
  4. Step 4: Simplify right side
    17,659.25x = 233,775,024.41
  5. Step 5: Solve for x
    x = 233,775,024.41/17,659.25
  6. Step 6: Final answer
    x = 13,238.11

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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.