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Finding the Fourth Proportional to 23,723.76, 32,735.94 and 13,111.94

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Solution

The fourth proportional to 23,723.76, 32,735.94 and 13,111.94 is: 18,092.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,723.76 : 32,735.94 = 13,111.94 : x
  2. Step 2: Convert to fraction form
    23,723.76/32,735.94 = 13,111.94/x
  3. Step 3: Cross multiply
    23,723.76x = 32,735.94 × 13,111.94
  4. Step 4: Simplify right side
    23,723.76x = 429,231,681.12
  5. Step 5: Solve for x
    x = 429,231,681.12/23,723.76
  6. Step 6: Final answer
    x = 18,092.90

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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.