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Finding the Fourth Proportional to 15,873.93, 21,896.10 and 10,216.04

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Solution

The fourth proportional to 15,873.93, 21,896.10 and 10,216.04 is: 14,091.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,873.93 : 21,896.10 = 10,216.04 : x
  2. Step 2: Convert to fraction form
    15,873.93/21,896.10 = 10,216.04/x
  3. Step 3: Cross multiply
    15,873.93x = 21,896.10 × 10,216.04
  4. Step 4: Simplify right side
    15,873.93x = 223,691,323.96
  5. Step 5: Solve for x
    x = 223,691,323.96/15,873.93
  6. Step 6: Final answer
    x = 14,091.74

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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.