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Finding the Fourth Proportional to 17,165.81, 23,686.86 and 9,611.09

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Solution

The fourth proportional to 17,165.81, 23,686.86 and 9,611.09 is: 13,262.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,165.81 : 23,686.86 = 9,611.09 : x
  2. Step 2: Convert to fraction form
    17,165.81/23,686.86 = 9,611.09/x
  3. Step 3: Cross multiply
    17,165.81x = 23,686.86 × 9,611.09
  4. Step 4: Simplify right side
    17,165.81x = 227,656,543.28
  5. Step 5: Solve for x
    x = 227,656,543.28/17,165.81
  6. Step 6: Final answer
    x = 13,262.21

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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.