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Finding the Fourth Proportional to 23,717.34, 32,684.99 and 16,991.42

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Solution

The fourth proportional to 23,717.34, 32,684.99 and 16,991.42 is: 23,415.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,717.34 : 32,684.99 = 16,991.42 : x
  2. Step 2: Convert to fraction form
    23,717.34/32,684.99 = 16,991.42/x
  3. Step 3: Cross multiply
    23,717.34x = 32,684.99 × 16,991.42
  4. Step 4: Simplify right side
    23,717.34x = 555,364,144.40
  5. Step 5: Solve for x
    x = 555,364,144.40/23,717.34
  6. Step 6: Final answer
    x = 23,415.95

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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.