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Finding the Fourth Proportional to 17,143.84, 25,696.86 and 9,732.34

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Solution

The fourth proportional to 17,143.84, 25,696.86 and 9,732.34 is: 14,587.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,143.84 : 25,696.86 = 9,732.34 : x
  2. Step 2: Convert to fraction form
    17,143.84/25,696.86 = 9,732.34/x
  3. Step 3: Cross multiply
    17,143.84x = 25,696.86 × 9,732.34
  4. Step 4: Simplify right side
    17,143.84x = 250,090,578.45
  5. Step 5: Solve for x
    x = 250,090,578.45/17,143.84
  6. Step 6: Final answer
    x = 14,587.78

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1.5x scale

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.