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Finding the Fourth Proportional to 17,274.24, 25,920 and 6,894.72

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Solution

The fourth proportional to 17,274.24, 25,920 and 6,894.72 is: 10,345.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,274.24 : 25,920 = 6,894.72 : x
  2. Step 2: Convert to fraction form
    17,274.24/25,920 = 6,894.72/x
  3. Step 3: Cross multiply
    17,274.24x = 25,920 × 6,894.72
  4. Step 4: Simplify right side
    17,274.24x = 178,711,142.40
  5. Step 5: Solve for x
    x = 178,711,142.40/17,274.24
  6. Step 6: Final answer
    x = 10,345.53

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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.