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Finding the Fourth Proportional to 17,015.86, 23,482.47 and 9,942.13

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Solution

The fourth proportional to 17,015.86, 23,482.47 and 9,942.13 is: 13,720.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,015.86 : 23,482.47 = 9,942.13 : x
  2. Step 2: Convert to fraction form
    17,015.86/23,482.47 = 9,942.13/x
  3. Step 3: Cross multiply
    17,015.86x = 23,482.47 × 9,942.13
  4. Step 4: Simplify right side
    17,015.86x = 233,465,769.46
  5. Step 5: Solve for x
    x = 233,465,769.46/17,015.86
  6. Step 6: Final answer
    x = 13,720.48

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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.