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Finding the Fourth Proportional to 26,358, 39,540.64 and 8,832.84

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Solution

The fourth proportional to 26,358, 39,540.64 and 8,832.84 is: 13,250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,358 : 39,540.64 = 8,832.84 : x
  2. Step 2: Convert to fraction form
    26,358/39,540.64 = 8,832.84/x
  3. Step 3: Cross multiply
    26,358x = 39,540.64 × 8,832.84
  4. Step 4: Simplify right side
    26,358x = 349,256,146.62
  5. Step 5: Solve for x
    x = 349,256,146.62/26,358
  6. Step 6: Final answer
    x = 13,250.48

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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.