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Finding the Fourth Proportional to 17,682, 26,523.12 and 5,370

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Solution

The fourth proportional to 17,682, 26,523.12 and 5,370 is: 8,055.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682 : 26,523.12 = 5,370 : x
  2. Step 2: Convert to fraction form
    17,682/26,523.12 = 5,370/x
  3. Step 3: Cross multiply
    17,682x = 26,523.12 × 5,370
  4. Step 4: Simplify right side
    17,682x = 142,429,154.40
  5. Step 5: Solve for x
    x = 142,429,154.40/17,682
  6. Step 6: Final answer
    x = 8,055.04

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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.