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Finding the Fourth Proportional to 17,095.14, 23,593.14 and 10,020.60

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Solution

The fourth proportional to 17,095.14, 23,593.14 and 10,020.60 is: 13,829.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,095.14 : 23,593.14 = 10,020.60 : x
  2. Step 2: Convert to fraction form
    17,095.14/23,593.14 = 10,020.60/x
  3. Step 3: Cross multiply
    17,095.14x = 23,593.14 × 10,020.60
  4. Step 4: Simplify right side
    17,095.14x = 236,417,418.68
  5. Step 5: Solve for x
    x = 236,417,418.68/17,095.14
  6. Step 6: Final answer
    x = 13,829.51

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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.