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Finding the Fourth Proportional to 17,980.52, 26,970.75 and 4,832.89

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Solution

The fourth proportional to 17,980.52, 26,970.75 and 4,832.89 is: 7,249.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,980.52 : 26,970.75 = 4,832.89 : x
  2. Step 2: Convert to fraction form
    17,980.52/26,970.75 = 4,832.89/x
  3. Step 3: Cross multiply
    17,980.52x = 26,970.75 × 4,832.89
  4. Step 4: Simplify right side
    17,980.52x = 130,346,600.54
  5. Step 5: Solve for x
    x = 130,346,600.54/17,980.52
  6. Step 6: Final answer
    x = 7,249.33

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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.