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Finding the Fourth Proportional to 17,162.88, 25,741.44 and 4,848

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Solution

The fourth proportional to 17,162.88, 25,741.44 and 4,848 is: 7,271.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,162.88 : 25,741.44 = 4,848 : x
  2. Step 2: Convert to fraction form
    17,162.88/25,741.44 = 4,848/x
  3. Step 3: Cross multiply
    17,162.88x = 25,741.44 × 4,848
  4. Step 4: Simplify right side
    17,162.88x = 124,794,501.12
  5. Step 5: Solve for x
    x = 124,794,501.12/17,162.88
  6. Step 6: Final answer
    x = 7,271.19

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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.