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Finding the Fourth Proportional to 17,294.64, 23,841.72 and 12,318

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Solution

The fourth proportional to 17,294.64, 23,841.72 and 12,318 is: 16,981.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,294.64 : 23,841.72 = 12,318 : x
  2. Step 2: Convert to fraction form
    17,294.64/23,841.72 = 12,318/x
  3. Step 3: Cross multiply
    17,294.64x = 23,841.72 × 12,318
  4. Step 4: Simplify right side
    17,294.64x = 293,682,306.96
  5. Step 5: Solve for x
    x = 293,682,306.96/17,294.64
  6. Step 6: Final answer
    x = 16,981.12

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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.