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Finding the Fourth Proportional to 17,495.44, 24,144.10 and 9,538.06

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Solution

The fourth proportional to 17,495.44, 24,144.10 and 9,538.06 is: 13,162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,495.44 : 24,144.10 = 9,538.06 : x
  2. Step 2: Convert to fraction form
    17,495.44/24,144.10 = 9,538.06/x
  3. Step 3: Cross multiply
    17,495.44x = 24,144.10 × 9,538.06
  4. Step 4: Simplify right side
    17,495.44x = 230,287,874.45
  5. Step 5: Solve for x
    x = 230,287,874.45/17,495.44
  6. Step 6: Final answer
    x = 13,162.74

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1.5x scale

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.