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Finding the Fourth Proportional to 16,832.21, 25,260.02 and 6,971.54

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Solution

The fourth proportional to 16,832.21, 25,260.02 and 6,971.54 is: 10,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,832.21 : 25,260.02 = 6,971.54 : x
  2. Step 2: Convert to fraction form
    16,832.21/25,260.02 = 6,971.54/x
  3. Step 3: Cross multiply
    16,832.21x = 25,260.02 × 6,971.54
  4. Step 4: Simplify right side
    16,832.21x = 176,101,239.83
  5. Step 5: Solve for x
    x = 176,101,239.83/16,832.21
  6. Step 6: Final answer
    x = 10,462.16

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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.