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Finding the Fourth Proportional to 15,857.56, 21,873.53 and 10,199.68

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Solution

The fourth proportional to 15,857.56, 21,873.53 and 10,199.68 is: 14,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.56 : 21,873.53 = 10,199.68 : x
  2. Step 2: Convert to fraction form
    15,857.56/21,873.53 = 10,199.68/x
  3. Step 3: Cross multiply
    15,857.56x = 21,873.53 × 10,199.68
  4. Step 4: Simplify right side
    15,857.56x = 223,102,846.10
  5. Step 5: Solve for x
    x = 223,102,846.10/15,857.56
  6. Step 6: Final answer
    x = 14,069.18

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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.