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Finding the Fourth Proportional to 16,853.58, 25,274.16 and 5,606.82

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Solution

The fourth proportional to 16,853.58, 25,274.16 and 5,606.82 is: 8,408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.58 : 25,274.16 = 5,606.82 : x
  2. Step 2: Convert to fraction form
    16,853.58/25,274.16 = 5,606.82/x
  3. Step 3: Cross multiply
    16,853.58x = 25,274.16 × 5,606.82
  4. Step 4: Simplify right side
    16,853.58x = 141,707,665.77
  5. Step 5: Solve for x
    x = 141,707,665.77/16,853.58
  6. Step 6: Final answer
    x = 8,408.16

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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.