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Finding the Fourth Proportional to 23,842.25, 32,900.77 and 14,889.21

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Solution

The fourth proportional to 23,842.25, 32,900.77 and 14,889.21 is: 20,546.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.25 : 32,900.77 = 14,889.21 : x
  2. Step 2: Convert to fraction form
    23,842.25/32,900.77 = 14,889.21/x
  3. Step 3: Cross multiply
    23,842.25x = 32,900.77 × 14,889.21
  4. Step 4: Simplify right side
    23,842.25x = 489,866,399.25
  5. Step 5: Solve for x
    x = 489,866,399.25/23,842.25
  6. Step 6: Final answer
    x = 20,546.15

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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.