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Finding the Fourth Proportional to 23,238.76, 32,074.15 and 13,805.50

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Solution

The fourth proportional to 23,238.76, 32,074.15 and 13,805.50 is: 19,054.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,238.76 : 32,074.15 = 13,805.50 : x
  2. Step 2: Convert to fraction form
    23,238.76/32,074.15 = 13,805.50/x
  3. Step 3: Cross multiply
    23,238.76x = 32,074.15 × 13,805.50
  4. Step 4: Simplify right side
    23,238.76x = 442,799,608.80
  5. Step 5: Solve for x
    x = 442,799,608.80/23,238.76
  6. Step 6: Final answer
    x = 19,054.36

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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.