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Finding the Fourth Proportional to 17,887.92, 26,829.36 and 4,741.44

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Solution

The fourth proportional to 17,887.92, 26,829.36 and 4,741.44 is: 7,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,887.92 : 26,829.36 = 4,741.44 : x
  2. Step 2: Convert to fraction form
    17,887.92/26,829.36 = 4,741.44/x
  3. Step 3: Cross multiply
    17,887.92x = 26,829.36 × 4,741.44
  4. Step 4: Simplify right side
    17,887.92x = 127,209,800.68
  5. Step 5: Solve for x
    x = 127,209,800.68/17,887.92
  6. Step 6: Final answer
    x = 7,111.49

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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.