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Finding the Fourth Proportional to 17,165.50, 23,688.75 and 9,713.50

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Solution

The fourth proportional to 17,165.50, 23,688.75 and 9,713.50 is: 13,404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,165.50 : 23,688.75 = 9,713.50 : x
  2. Step 2: Convert to fraction form
    17,165.50/23,688.75 = 9,713.50/x
  3. Step 3: Cross multiply
    17,165.50x = 23,688.75 × 9,713.50
  4. Step 4: Simplify right side
    17,165.50x = 230,100,673.13
  5. Step 5: Solve for x
    x = 230,100,673.13/17,165.50
  6. Step 6: Final answer
    x = 13,404.83

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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.