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Finding the Fourth Proportional to 17,224.84, 25,832.53 and 4,741.93

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Solution

The fourth proportional to 17,224.84, 25,832.53 and 4,741.93 is: 7,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,224.84 : 25,832.53 = 4,741.93 : x
  2. Step 2: Convert to fraction form
    17,224.84/25,832.53 = 4,741.93/x
  3. Step 3: Cross multiply
    17,224.84x = 25,832.53 × 4,741.93
  4. Step 4: Simplify right side
    17,224.84x = 122,496,048.98
  5. Step 5: Solve for x
    x = 122,496,048.98/17,224.84
  6. Step 6: Final answer
    x = 7,111.59

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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.