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Finding the Fourth Proportional to 17,495.57, 24,144.14 and 9,537.93

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Solution

The fourth proportional to 17,495.57, 24,144.14 and 9,537.93 is: 13,162.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,495.57 : 24,144.14 = 9,537.93 : x
  2. Step 2: Convert to fraction form
    17,495.57/24,144.14 = 9,537.93/x
  3. Step 3: Cross multiply
    17,495.57x = 24,144.14 × 9,537.93
  4. Step 4: Simplify right side
    17,495.57x = 230,285,117.23
  5. Step 5: Solve for x
    x = 230,285,117.23/17,495.57
  6. Step 6: Final answer
    x = 13,162.48

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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.