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Finding the Fourth Proportional to 23,847.96, 32,910.72 and 13,237.44

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Solution

The fourth proportional to 23,847.96, 32,910.72 and 13,237.44 is: 18,267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,847.96 : 32,910.72 = 13,237.44 : x
  2. Step 2: Convert to fraction form
    23,847.96/32,910.72 = 13,237.44/x
  3. Step 3: Cross multiply
    23,847.96x = 32,910.72 × 13,237.44
  4. Step 4: Simplify right side
    23,847.96x = 435,653,681.36
  5. Step 5: Solve for x
    x = 435,653,681.36/23,847.96
  6. Step 6: Final answer
    x = 18,267.96

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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.