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Finding the Fourth Proportional to 17,506, 24,151.08 and 11,540.44

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Solution

The fourth proportional to 17,506, 24,151.08 and 11,540.44 is: 15,921.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,506 : 24,151.08 = 11,540.44 : x
  2. Step 2: Convert to fraction form
    17,506/24,151.08 = 11,540.44/x
  3. Step 3: Cross multiply
    17,506x = 24,151.08 × 11,540.44
  4. Step 4: Simplify right side
    17,506x = 278,714,089.68
  5. Step 5: Solve for x
    x = 278,714,089.68/17,506
  6. Step 6: Final answer
    x = 15,921.06

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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.