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Finding the Fourth Proportional to 17,453.38, 26,164.57 and 6,358

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Solution

The fourth proportional to 17,453.38, 26,164.57 and 6,358 is: 9,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,453.38 : 26,164.57 = 6,358 : x
  2. Step 2: Convert to fraction form
    17,453.38/26,164.57 = 6,358/x
  3. Step 3: Cross multiply
    17,453.38x = 26,164.57 × 6,358
  4. Step 4: Simplify right side
    17,453.38x = 166,354,336.06
  5. Step 5: Solve for x
    x = 166,354,336.06/17,453.38
  6. Step 6: Final answer
    x = 9,531.35

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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.