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Finding the Fourth Proportional to 23,163, 31,967.37 and 14,208.45

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Solution

The fourth proportional to 23,163, 31,967.37 and 14,208.45 is: 19,609.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,163 : 31,967.37 = 14,208.45 : x
  2. Step 2: Convert to fraction form
    23,163/31,967.37 = 14,208.45/x
  3. Step 3: Cross multiply
    23,163x = 31,967.37 × 14,208.45
  4. Step 4: Simplify right side
    23,163x = 454,206,778.28
  5. Step 5: Solve for x
    x = 454,206,778.28/23,163
  6. Step 6: Final answer
    x = 19,609.15

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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.