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Finding the Fourth Proportional to 16,733, 25,103.82 and 4,886.48

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Solution

The fourth proportional to 16,733, 25,103.82 and 4,886.48 is: 7,330.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,733 : 25,103.82 = 4,886.48 : x
  2. Step 2: Convert to fraction form
    16,733/25,103.82 = 4,886.48/x
  3. Step 3: Cross multiply
    16,733x = 25,103.82 × 4,886.48
  4. Step 4: Simplify right side
    16,733x = 122,669,314.35
  5. Step 5: Solve for x
    x = 122,669,314.35/16,733
  6. Step 6: Final answer
    x = 7,330.98

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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.