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Finding the Fourth Proportional to 17,956.42, 26,913.54 and 8,084.14

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Solution

The fourth proportional to 17,956.42, 26,913.54 and 8,084.14 is: 12,116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,956.42 : 26,913.54 = 8,084.14 : x
  2. Step 2: Convert to fraction form
    17,956.42/26,913.54 = 8,084.14/x
  3. Step 3: Cross multiply
    17,956.42x = 26,913.54 × 8,084.14
  4. Step 4: Simplify right side
    17,956.42x = 217,572,825.26
  5. Step 5: Solve for x
    x = 217,572,825.26/17,956.42
  6. Step 6: Final answer
    x = 12,116.72

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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.