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Finding the Fourth Proportional to 17,342.34, 23,931.99 and 9,685.86

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Solution

The fourth proportional to 17,342.34, 23,931.99 and 9,685.86 is: 13,366.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,342.34 : 23,931.99 = 9,685.86 : x
  2. Step 2: Convert to fraction form
    17,342.34/23,931.99 = 9,685.86/x
  3. Step 3: Cross multiply
    17,342.34x = 23,931.99 × 9,685.86
  4. Step 4: Simplify right side
    17,342.34x = 231,801,904.66
  5. Step 5: Solve for x
    x = 231,801,904.66/17,342.34
  6. Step 6: Final answer
    x = 13,366.24

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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.