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Finding the Fourth Proportional to 17,456.12, 24,079.38 and 11,071.16

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Solution

The fourth proportional to 17,456.12, 24,079.38 and 11,071.16 is: 15,271.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,456.12 : 24,079.38 = 11,071.16 : x
  2. Step 2: Convert to fraction form
    17,456.12/24,079.38 = 11,071.16/x
  3. Step 3: Cross multiply
    17,456.12x = 24,079.38 × 11,071.16
  4. Step 4: Simplify right side
    17,456.12x = 266,586,668.68
  5. Step 5: Solve for x
    x = 266,586,668.68/17,456.12
  6. Step 6: Final answer
    x = 15,271.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.