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Finding the Fourth Proportional to 23,313.40, 32,171.40 and 12,703

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Solution

The fourth proportional to 23,313.40, 32,171.40 and 12,703 is: 17,529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,313.40 : 32,171.40 = 12,703 : x
  2. Step 2: Convert to fraction form
    23,313.40/32,171.40 = 12,703/x
  3. Step 3: Cross multiply
    23,313.40x = 32,171.40 × 12,703
  4. Step 4: Simplify right side
    23,313.40x = 408,673,294.20
  5. Step 5: Solve for x
    x = 408,673,294.20/23,313.40
  6. Step 6: Final answer
    x = 17,529.54

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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.