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Finding the Fourth Proportional to 17,271.72, 25,903.74 and 6,742.04

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Solution

The fourth proportional to 17,271.72, 25,903.74 and 6,742.04 is: 10,111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,271.72 : 25,903.74 = 6,742.04 : x
  2. Step 2: Convert to fraction form
    17,271.72/25,903.74 = 6,742.04/x
  3. Step 3: Cross multiply
    17,271.72x = 25,903.74 × 6,742.04
  4. Step 4: Simplify right side
    17,271.72x = 174,644,051.23
  5. Step 5: Solve for x
    x = 174,644,051.23/17,271.72
  6. Step 6: Final answer
    x = 10,111.56

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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.