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Finding the Fourth Proportional to 21,405.33, 32,074.29 and 10,147.77

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Solution

The fourth proportional to 21,405.33, 32,074.29 and 10,147.77 is: 15,205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,405.33 : 32,074.29 = 10,147.77 : x
  2. Step 2: Convert to fraction form
    21,405.33/32,074.29 = 10,147.77/x
  3. Step 3: Cross multiply
    21,405.33x = 32,074.29 × 10,147.77
  4. Step 4: Simplify right side
    21,405.33x = 325,482,517.83
  5. Step 5: Solve for x
    x = 325,482,517.83/21,405.33
  6. Step 6: Final answer
    x = 15,205.68

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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.