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Finding the Fourth Proportional to 17,071.14, 25,617.65 and 8,301.27

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Solution

The fourth proportional to 17,071.14, 25,617.65 and 8,301.27 is: 12,457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,071.14 : 25,617.65 = 8,301.27 : x
  2. Step 2: Convert to fraction form
    17,071.14/25,617.65 = 8,301.27/x
  3. Step 3: Cross multiply
    17,071.14x = 25,617.65 × 8,301.27
  4. Step 4: Simplify right side
    17,071.14x = 212,658,987.91
  5. Step 5: Solve for x
    x = 212,658,987.91/17,071.14
  6. Step 6: Final answer
    x = 12,457.22

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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.