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Finding the Fourth Proportional to 16,956, 25,434.72 and 4,644

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Solution

The fourth proportional to 16,956, 25,434.72 and 4,644 is: 6,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,956 : 25,434.72 = 4,644 : x
  2. Step 2: Convert to fraction form
    16,956/25,434.72 = 4,644/x
  3. Step 3: Cross multiply
    16,956x = 25,434.72 × 4,644
  4. Step 4: Simplify right side
    16,956x = 118,118,839.68
  5. Step 5: Solve for x
    x = 118,118,839.68/16,956
  6. Step 6: Final answer
    x = 6,966.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.