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Finding the Fourth Proportional to 17,142, 23,655.63 and 9,588.33

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Solution

The fourth proportional to 17,142, 23,655.63 and 9,588.33 is: 13,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142 : 23,655.63 = 9,588.33 : x
  2. Step 2: Convert to fraction form
    17,142/23,655.63 = 9,588.33/x
  3. Step 3: Cross multiply
    17,142x = 23,655.63 × 9,588.33
  4. Step 4: Simplify right side
    17,142x = 226,817,986.80
  5. Step 5: Solve for x
    x = 226,817,986.80/17,142
  6. Step 6: Final answer
    x = 13,231.71

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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.