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Finding the Fourth Proportional to 17,312.09, 25,972.50 and 4,832.10

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Solution

The fourth proportional to 17,312.09, 25,972.50 and 4,832.10 is: 7,249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,312.09 : 25,972.50 = 4,832.10 : x
  2. Step 2: Convert to fraction form
    17,312.09/25,972.50 = 4,832.10/x
  3. Step 3: Cross multiply
    17,312.09x = 25,972.50 × 4,832.10
  4. Step 4: Simplify right side
    17,312.09x = 125,501,717.25
  5. Step 5: Solve for x
    x = 125,501,717.25/17,312.09
  6. Step 6: Final answer
    x = 7,249.37

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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.