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Finding the Fourth Proportional to 15,405.99, 21,241 and 12,857.41

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Solution

The fourth proportional to 15,405.99, 21,241 and 12,857.41 is: 17,727.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,405.99 : 21,241 = 12,857.41 : x
  2. Step 2: Convert to fraction form
    15,405.99/21,241 = 12,857.41/x
  3. Step 3: Cross multiply
    15,405.99x = 21,241 × 12,857.41
  4. Step 4: Simplify right side
    15,405.99x = 273,104,245.81
  5. Step 5: Solve for x
    x = 273,104,245.81/15,405.99
  6. Step 6: Final answer
    x = 17,727.15

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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.