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Finding the Fourth Proportional to 16,876.68, 25,319.07 and 5,783.46

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Solution

The fourth proportional to 16,876.68, 25,319.07 and 5,783.46 is: 8,676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,876.68 : 25,319.07 = 5,783.46 : x
  2. Step 2: Convert to fraction form
    16,876.68/25,319.07 = 5,783.46/x
  3. Step 3: Cross multiply
    16,876.68x = 25,319.07 × 5,783.46
  4. Step 4: Simplify right side
    16,876.68x = 146,431,828.58
  5. Step 5: Solve for x
    x = 146,431,828.58/16,876.68
  6. Step 6: Final answer
    x = 8,676.58

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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.