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Finding the Fourth Proportional to 16,830.63, 25,245.03 and 5,142.96

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Solution

The fourth proportional to 16,830.63, 25,245.03 and 5,142.96 is: 7,714.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,830.63 : 25,245.03 = 5,142.96 : x
  2. Step 2: Convert to fraction form
    16,830.63/25,245.03 = 5,142.96/x
  3. Step 3: Cross multiply
    16,830.63x = 25,245.03 × 5,142.96
  4. Step 4: Simplify right side
    16,830.63x = 129,834,179.49
  5. Step 5: Solve for x
    x = 129,834,179.49/16,830.63
  6. Step 6: Final answer
    x = 7,714.16

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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.