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Finding the Fourth Proportional to 12,281.84, 16,956.68 and 8,704.38

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Solution

The fourth proportional to 12,281.84, 16,956.68 and 8,704.38 is: 12,017.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.84 : 16,956.68 = 8,704.38 : x
  2. Step 2: Convert to fraction form
    12,281.84/16,956.68 = 8,704.38/x
  3. Step 3: Cross multiply
    12,281.84x = 16,956.68 × 8,704.38
  4. Step 4: Simplify right side
    12,281.84x = 147,597,342.74
  5. Step 5: Solve for x
    x = 147,597,342.74/12,281.84
  6. Step 6: Final answer
    x = 12,017.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.