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Finding the Fourth Proportional to 22,433.88, 30,964.26 and 13,007.94

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Solution

The fourth proportional to 22,433.88, 30,964.26 and 13,007.94 is: 17,954.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,433.88 : 30,964.26 = 13,007.94 : x
  2. Step 2: Convert to fraction form
    22,433.88/30,964.26 = 13,007.94/x
  3. Step 3: Cross multiply
    22,433.88x = 30,964.26 × 13,007.94
  4. Step 4: Simplify right side
    22,433.88x = 402,781,236.22
  5. Step 5: Solve for x
    x = 402,781,236.22/22,433.88
  6. Step 6: Final answer
    x = 17,954.15

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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.