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Finding the Fourth Proportional to 23,676.76, 32,679.66 and 14,243.50

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Solution

The fourth proportional to 23,676.76, 32,679.66 and 14,243.50 is: 19,659.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,676.76 : 32,679.66 = 14,243.50 : x
  2. Step 2: Convert to fraction form
    23,676.76/32,679.66 = 14,243.50/x
  3. Step 3: Cross multiply
    23,676.76x = 32,679.66 × 14,243.50
  4. Step 4: Simplify right side
    23,676.76x = 465,472,737.21
  5. Step 5: Solve for x
    x = 465,472,737.21/23,676.76
  6. Step 6: Final answer
    x = 19,659.48

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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.