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Finding the Fourth Proportional to 16,873.71, 25,309.94 and 5,186.63

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Solution

The fourth proportional to 16,873.71, 25,309.94 and 5,186.63 is: 7,779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,873.71 : 25,309.94 = 5,186.63 : x
  2. Step 2: Convert to fraction form
    16,873.71/25,309.94 = 5,186.63/x
  3. Step 3: Cross multiply
    16,873.71x = 25,309.94 × 5,186.63
  4. Step 4: Simplify right side
    16,873.71x = 131,273,141.62
  5. Step 5: Solve for x
    x = 131,273,141.62/16,873.71
  6. Step 6: Final answer
    x = 7,779.74

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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.