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Finding the Fourth Proportional to 21,382.80, 32,074.76 and 10,135.50

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Solution

The fourth proportional to 21,382.80, 32,074.76 and 10,135.50 is: 15,203.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,382.80 : 32,074.76 = 10,135.50 : x
  2. Step 2: Convert to fraction form
    21,382.80/32,074.76 = 10,135.50/x
  3. Step 3: Cross multiply
    21,382.80x = 32,074.76 × 10,135.50
  4. Step 4: Simplify right side
    21,382.80x = 325,093,729.98
  5. Step 5: Solve for x
    x = 325,093,729.98/21,382.80
  6. Step 6: Final answer
    x = 15,203.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.