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Finding the Fourth Proportional to 22,438.64, 30,965.54 and 12,367.10

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Solution

The fourth proportional to 22,438.64, 30,965.54 and 12,367.10 is: 17,066.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,438.64 : 30,965.54 = 12,367.10 : x
  2. Step 2: Convert to fraction form
    22,438.64/30,965.54 = 12,367.10/x
  3. Step 3: Cross multiply
    22,438.64x = 30,965.54 × 12,367.10
  4. Step 4: Simplify right side
    22,438.64x = 382,953,713.07
  5. Step 5: Solve for x
    x = 382,953,713.07/22,438.64
  6. Step 6: Final answer
    x = 17,066.71

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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.